* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Setting MPFR precision to 1856
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1856
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (* x x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 1
* [misc]none:  All alts: 1
* [misc]none:  Fresh alt: (λ (x) (/ (- 1 (cos x)) (* x x)))
* [misc]none:  Fresh alt indexes
* [misc]none:  (λ (x) (/ (- 1 (cos x)) (* x x))): 0
* [misc]none:  Best fresh alt per point
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* [misc]none:  All alt indexes
* [misc]none:  (λ (x) (/ (- 1 (cos x)) (* x x))): 0
* [misc]none:  Best alt per point
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* [misc]none:  (-2.4642361000377723e+179): 0
* [misc]none:  (-223338690.5739434): 0
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* [misc]none:  (1.6598105327534946e+245): 0
* [misc]none:  (-2.2565106546246065e+111): 0
* [misc]none:  (-8.921793657844595e+241): 0
* [misc]none:  (-1.2504926677350782e+286): 0
* [misc]none:  (2142884768423.9766): 0
* [misc]none:  (-1.0342577969053837e-127): 0
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* [misc]none:  (6.352964037059704e-48): 0
* [misc]none:  (2.0675888684205106e-37): 0
* [misc]none:  (3.9955309460256863e-193): 0
* [misc]none:  (-6.802352065741283e-237): 0
* [misc]none:  (1.7860466700053246e+179): 0
* [misc]none:  (-2.1540953112813662e-178): 0
* [misc]none:  (-1.1984894069610523e-255): 0
* [misc]none:  (2.286904329311883e+176): 0
* [misc]none:  (-3.0869297245392077e+307): 0
* [misc]none:  (-7.242911167116891e-28): 0
* [misc]none:  (-3.652961257321153e+269): 0
* [misc]none:  (-1.981435962910265e-248): 0
* [misc]none:  (1.434478809327731e-162): 0
* [misc]none:  (1.7673263201240207e+200): 0
* [misc]none:  (4.1358060479750856e+163): 0
* [misc]none:  (2.77377213114978e+181): 0
* [misc]none:  (-2.5233739143143128e-166): 0
* [misc]none:  (7.0699594918945535e-177): 0
* [misc]none:  (1.5437232098269186e+160): 0
* [misc]none:  (-5.1984298768145166e+116): 0
* [misc]none:  (-1.2768311469464077e-95): 0
* [misc]none:  (-4.0802892718556596e+97): 0
* [misc]none:  Picked alt (λ (x) (/ (- 1 (cos x)) (* x x)))
* * * * [misc]pick:  Picked  #<alt-event (λ (x) (/ (- 1 (cos x)) (* x x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (- 1 (cos x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (- (- 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (- 1/24) into -1/24
* [misc]backup-simplify:  Simplify (+ 0 -1/24) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720)
* [misc]backup-simplify:  Simplify (- (- 1/720)) into 1/720
* [misc]backup-simplify:  Simplify (+ 0 1/720) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
* [misc]approximate:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x))
* [misc]approximate:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (- 1 (cos x)) (* x x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos x)) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (- (- 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos x)) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (- (- 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (- 1/24) into -1/24
* [misc]backup-simplify:  Simplify (+ 0 -1/24) into -1/24
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720)
* [misc]backup-simplify:  Simplify (- (- 1/720)) into 1/720
* [misc]backup-simplify:  Simplify (+ 0 1/720) into 1/720
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (cos (/ 1 x))) 1) into (- 1 (cos (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (cos (/ 1 x))) 1) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2))
* [misc]approximate:  Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (cos (/ -1 x))) 1) into (- 1 (cos (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (cos (/ -1 x))) 1) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (log1p (expm1 (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (expm1 (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (expm1 (- 1 (cos x)))
* [exit]simplify:  Simplified to (expm1 (- 1 (cos x)))
* * * * [misc]progress:  [ 2 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (expm1 (log1p (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (log1p (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (log1p (- 1 (cos x)))
* [exit]simplify:  Simplified to (log1p (- 1 (cos x)))
* * * * [misc]progress:  [ 3 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (pow (- 1 (cos x)) 1) (* x x)))>
* * * * [misc]progress:  [ 4 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (log (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (log (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (log (- 1 (cos x)))
* [exit]simplify:  Simplified to (log (- 1 (cos x)))
* * * * [misc]progress:  [ 5 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (exp (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (/ E (exp (cos x)))
* [exit]simplify:  Simplified to (/ E (exp (cos x)))
* * * * [misc]progress:  [ 6 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x))))
* [enter]simplify:  Simplifying (cbrt (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (cos x)))
* [exit]simplify:  Simplified to (cbrt (- 1 (cos x)))
* * * * [misc]progress:  [ 7 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (cos x)) 3)
* [exit]simplify:  Simplified to (pow (- 1 (cos x)) 3)
* * * * [misc]progress:  [ 8 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (sqrt (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* [enter]simplify:  Simplifying (sqrt (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* * * * [misc]progress:  [ 9 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (- (pow 1 3) (pow (cos x) 3))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (fma (- (cos x)) (* (cos x) (cos x)) 1)
* [exit]simplify:  Simplified to (fma (- (cos x)) (* (cos x) (cos x)) 1)
* [enter]simplify:  Simplifying (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (+ (cos x) (fma (cos x) (cos x) 1))
* [exit]simplify:  Simplified to (+ (cos x) (fma (cos x) (cos x) 1))
* * * * [misc]progress:  [ 10 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (- (cos x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (cos x))
* [exit]simplify:  Simplified to (- (cos x))
* * * * [misc]progress:  [ 11 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (* 1 (- 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 12 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (- (* 1 1) (* (cos x) (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [enter]simplify:  Simplifying (+ 1 (cos x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (+ 1 (cos x))
* [exit]simplify:  Simplified to (+ 1 (cos x))
* * * * [misc]progress:  [ 13 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (- (cos x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (cos x))
* [exit]simplify:  Simplified to (- (cos x))
* * * * [misc]progress:  [ 14 / 43 ] simplifiying candidate #<alt-delta (λ (x) (log1p (expm1 (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (expm1 (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (expm1 (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 15 / 43 ] simplifiying candidate #<alt-delta (λ (x) (expm1 (log1p (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (log1p (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (log1p (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (log1p (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 16 / 43 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (- 1 (cos x)) (* x x)) 1))>
* * * * [misc]progress:  [ 17 / 43 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (log (- 1 (cos x))) (log (* x x)))))>
* [enter]simplify:  Simplifying (- (log (- 1 (cos x))) (log (* x x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (- (log (- 1 (cos x))) (log (* x x)))
* [exit]simplify:  Simplified to (- (log (- 1 (cos x))) (log (* x x)))
* * * * [misc]progress:  [ 18 / 43 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (log (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (log (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (log (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 19 / 43 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (exp (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (exp (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (exp (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 20 / 43 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x)))))>
* [enter]simplify:  Simplifying (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (385 enodes)
* [exit]simplify:  Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3)
* * * * [misc]progress:  [ 21 / 43 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x))))
* [exit]simplify:  Simplified to (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x))))
* [enter]simplify:  Simplifying (cbrt (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (cbrt (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 22 / 43 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (330 enodes)
* [exit]simplify:  Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3)
* * * * [misc]progress:  [ 23 / 43 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (sqrt (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* [enter]simplify:  Simplifying (sqrt (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 24 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (- 1 (cos x))) (- (* x x))))>
* [enter]simplify:  Simplifying (- (- 1 (cos x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (- (cos x) 1)
* [exit]simplify:  Simplified to (- (cos x) 1)
* [enter]simplify:  Simplifying (- (* x x))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (- x) x)
* [exit]simplify:  Simplified to (* (- x) x)
* * * * [misc]progress:  [ 25 / 43 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (* x x)) (/ (cos x) (* x x))))>
* [enter]simplify:  Simplifying (/ 1 (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [enter]simplify:  Simplifying (/ (cos x) (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos x) (* x x))
* [exit]simplify:  Simplified to (/ (cos x) (* x x))
* * * * [misc]progress:  [ 26 / 43 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 (cos x))) (/ (cbrt (- 1 (cos x))) x))
* [exit]simplify:  Simplified to (* (cbrt (- 1 (cos x))) (/ (cbrt (- 1 (cos x))) x))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (cos x))) x)
* * * * [misc]progress:  [ 27 / 43 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (- 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* [enter]simplify:  Simplifying (/ (sqrt (- 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* * * * [misc]progress:  [ 28 / 43 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* * * * [misc]progress:  [ 29 / 43 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (/ (- 1 (cos x)) (* x x))))>
* * * * [misc]progress:  [ 30 / 43 ] simplifiying candidate #<alt-delta (λ (x) (* (- 1 (cos x)) (/ 1 (* x x))))>
* [enter]simplify:  Simplifying (/ 1 (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* * * * [misc]progress:  [ 31 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
* [enter]simplify:  Simplifying (/ (* x x) (- 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* * * * [misc]progress:  [ 32 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- 1 (cos x)) x) x))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* * * * [misc]progress:  [ 33 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (/ (* x x) (cbrt (- 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (cbrt (- 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (- 1 (cos x))))
* * * * [misc]progress:  [ 34 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (sqrt (- 1 (cos x))) (/ (* x x) (sqrt (- 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sqrt (- 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (- 1 (cos x))))
* * * * [misc]progress:  [ 35 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
* [enter]simplify:  Simplifying (/ (* x x) (- 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* * * * [misc]progress:  [ 36 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))))))>
* [enter]simplify:  Simplifying (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (263 enodes)
* * [misc]simplify:  iters left: 2 (451 enodes)
* [exit]simplify:  Simplified to (fma (* x x) (fma (cos x) (cos x) (cos x)) (* x x))
* [exit]simplify:  Simplified to (fma (* x x) (fma (cos x) (cos x) (cos x)) (* x x))
* * * * [misc]progress:  [ 37 / 43 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (* 1 1) (* (cos x) (cos x))) (* (* x x) (+ 1 (cos x)))))>
* [enter]simplify:  Simplifying (* (* x x) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (fma (cos x) (* x x) (* x x))
* [exit]simplify:  Simplified to (fma (cos x) (* x x) (* x x))
* * * * [misc]progress:  [ 38 / 43 ] simplifiying candidate #<alt-event (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
* [enter]simplify:  Simplifying (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (191 enodes)
* * [misc]simplify:  iters left: 1 (259 enodes)
* [exit]simplify:  Simplified to (/ (fma (pow x 6) 1/720 (- (* (* x x) 1/2) (* (pow x 4) 1/24))) (* x x))
* * * * [misc]progress:  [ 39 / 43 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos x)) (* x x)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (* x x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * * * [misc]progress:  [ 40 / 43 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos x)) (* x x)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (* x x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * * * [misc]progress:  [ 41 / 43 ] simplifiying candidate #<alt-event (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x)))
* * * * [misc]progress:  [ 42 / 43 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (pow x 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * * * [misc]progress:  [ 43 / 43 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (pow x 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 8
* [misc]none:  All alts: 8
* [misc]none:  Fresh alt: (λ (x) (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x))))
* [misc]none:  Fresh alt: (λ (x) (* (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x)))
* [misc]none:  Fresh alt: (λ (x) (* (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x)))))
* [misc]none:  Fresh alt: (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))
* [misc]none:  Fresh alt: (λ (x) (exp (- (log (- 1 (cos x))) (log (* x x)))))
* [misc]none:  Fresh alt: (λ (x) (/ (/ (- (pow 1 3) (pow (cos x) 3)) (+ (cos x) (fma (cos x) (cos x) 1))) (* x x)))
* [misc]none:  Fresh alt: (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))
* [misc]none:  Fresh alt: (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* [misc]none:  Fresh alt indexes
* [misc]none:  (λ (x) (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x)))): 0
* [misc]none:  (λ (x) (* (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x))): 1
* [misc]none:  (λ (x) (* (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))))): 2
* [misc]none:  (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x))): 3
* [misc]none:  (λ (x) (exp (- (log (- 1 (cos x))) (log (* x x))))): 4
* [misc]none:  (λ (x) (/ (/ (- (pow 1 3) (pow (cos x) 3)) (+ (cos x) (fma (cos x) (cos x) 1))) (* x x))): 5
* [misc]none:  (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x))): 6
* [misc]none:  (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))): 7
* [misc]none:  Best fresh alt per point
* [misc]none:  (1.8269212298308998e+214): 1
* [misc]none:  (1789977963981.046): 2
* [misc]none:  (-1.7899154283931006e-62): 0
* [misc]none:  (1.6281717766697912e+39): 1
* [misc]none:  (3.5243641367880456e+86): 5
* [misc]none:  (-3.0008256032154172e-176): 0
* [misc]none:  (-7.986330642950897e-117): 0
* [misc]none:  (1.1611754700502491e-55): 0
* [misc]none:  (8.728226238434233e-64): 0
* [misc]none:  (-1.6133455999823373e+110): 1
* [misc]none:  (-3.9890484917100117e+257): 1
* [misc]none:  (-1.5117832743647305e-21): 0
* [misc]none:  (3.928924306566786e-70): 0
* [misc]none:  (5.222760300460367e-180): 0
* [misc]none:  (-4.026134204708055e+160): 1
* [misc]none:  (2.281413649637054e-166): 0
* [misc]none:  (4.156243175149629e-181): 0
* [misc]none:  (-9.231874857928986e-255): 0
* [misc]none:  (-1.65054043818576e-39): 0
* [misc]none:  (-1.0058709145515093e+290): 1
* [misc]none:  (-4.753699147196455e-118): 0
* [misc]none:  (-4.805584106456354e-282): 0
* [misc]none:  (-0.15058815983267834): 4
* [misc]none:  (3.714800492587865e+85): 1
* [misc]none:  (-4.7089063680709754e+260): 1
* [misc]none:  (4.344802098601123e-298): 0
* [misc]none:  (4.508329239962989e+257): 1
* [misc]none:  (-1.211264682641895e-292): 0
* [misc]none:  (1.0495684746531957e+167): 1
* [misc]none:  (2.721003254105153e-81): 0
* [misc]none:  (-3.0671153252781823e-63): 0
* [misc]none:  (-7.74362334743424e+32): 7
* [misc]none:  (-2.2376851712564295e-118): 0
* [misc]none:  (1.64239269831532e+149): 3
* [misc]none:  (-1.576948173228613e+33): 1
* [misc]none:  (9.680698928511806e-32): 0
* [misc]none:  (1.954959341132994e-252): 0
* [misc]none:  (-7.83347153590065e-06): 0
* [misc]none:  (5.521334390623478e-06): 0
* [misc]none:  (-3.229654932887624e+201): 1
* [misc]none:  (-9.827696191097834e-18): 0
* [misc]none:  (-1.3343140776153144e-304): 0
* [misc]none:  (-9.906575581428813e+195): 1
* [misc]none:  (7.10957194421701e+200): 1
* [misc]none:  (-4.7756557550151386e+160): 1
* [misc]none:  (2.4256946179069016e+78): 7
* [misc]none:  (6.207394963032113e+30): 5
* [misc]none:  (-7.218692088264328e+54): 6
* [misc]none:  (8.781920275794267e+61): 1
* [misc]none:  (3.5618749791650757e+87): 3
* [misc]none:  (4.9372470656494625e-201): 0
* [misc]none:  (1.4446355009900792e+23): 3
* [misc]none:  (-3.5082856951249954e-122): 0
* [misc]none:  (9.917487178181935e-54): 0
* [misc]none:  (-7.01049497494046e-138): 0
* [misc]none:  (3.841494064694043e+276): 1
* [misc]none:  (3.642806409692576e+70): 3
* [misc]none:  (-3.326243684234595e+241): 1
* [misc]none:  (-7.587678445119084e+247): 1
* [misc]none:  (1.518078533135906e+61): 3
* [misc]none:  (1.5052438492777668e+214): 1
* [misc]none:  (1.5460201380138582e-108): 0
* [misc]none:  (6.354924490516637e-174): 0
* [misc]none:  (1.1935837539207151e+36): 3
* [misc]none:  (-1.6901036379481523e+68): 1
* [misc]none:  (5.558607723763576e+296): 1
* [misc]none:  (-5129.844514220037): 3
* [misc]none:  (-8.518839978003416e+199): 1
* [misc]none:  (5.0618502549145104e+216): 1
* [misc]none:  (-2.0899529309308688e-173): 0
* [misc]none:  (-1.3078423091955545e+95): 2
* [misc]none:  (8.726419779901594e-156): 0
* [misc]none:  (1.5484790382727637e+258): 1
* [misc]none:  (2.2758369496030736e+44): 1
* [misc]none:  (2.7646272679971947e+138): 3
* [misc]none:  (1.8029164814151534e-305): 0
* [misc]none:  (-8.140052952226443e-29): 0
* [misc]none:  (-3.868827374468717e+273): 1
* [misc]none:  (-9.30868828487235e-242): 0
* [misc]none:  (7.865810923274834e+251): 1
* [misc]none:  (-1.977339157633397e-22): 0
* [misc]none:  (-12396.634829186376): 7
* [misc]none:  (2.0737883409435182e-60): 0
* [misc]none:  (8.938208620266642e-81): 0
* [misc]none:  (-1.0125994980022202e+121): 1
* [misc]none:  (9.949795070357293e-13): 0
* [misc]none:  (3.9753155304068916e+192): 1
* [misc]none:  (-1.5751944823937151e-208): 0
* [misc]none:  (-5.711690539427335e-292): 0
* [misc]none:  (2.0698086438592394e+99): 5
* [misc]none:  (8.149794087375897e+77): 3
* [misc]none:  (1.4399038101240658e-157): 0
* [misc]none:  (-0.0033935472374883513): 0
* [misc]none:  (-1.873060887288803e+204): 1
* [misc]none:  (6.486236446634097e-143): 0
* [misc]none:  (-6.777569686362558e+23): 6
* [misc]none:  (-3.976258322985434e+241): 1
* [misc]none:  (1.0713666056080785e-84): 0
* [misc]none:  (-1.4481584190101499e-109): 0
* [misc]none:  (1.8890847145741933e+54): 2
* [misc]none:  (5.334416108525731e+103): 6
* [misc]none:  (8.243928876632343e+120): 3
* [misc]none:  (4.915746009665795e+153): 3
* [misc]none:  (-1.2716911445748643e-294): 0
* [misc]none:  (-1.178199525484178e+291): 1
* [misc]none:  (-2.616452914461827e+123): 3
* [misc]none:  (-1.3552545859518693e-149): 0
* [misc]none:  (1.0769411808120101e+237): 1
* [misc]none:  (2.7212207505395135e+138): 1
* [misc]none:  (-1.7192030807828345e+260): 1
* [misc]none:  (-3.070590530502344e+254): 1
* [misc]none:  (4.3361011341035273e+108): 3
* [misc]none:  (-7.078347720981057e+296): 1
* [misc]none:  (-1.1633032638785635e+290): 1
* [misc]none:  (-2.3832835734274537e-77): 0
* [misc]none:  (-2.0550237535049573e-58): 0
* [misc]none:  (3.3652051120813564e-167): 0
* [misc]none:  (-1.6071108269264857e+240): 1
* [misc]none:  (2.2507296241296892e-278): 0
* [misc]none:  (-8.625502649886978e-116): 0
* [misc]none:  (-7.605291673043568e+86): 1
* [misc]none:  (1.3555181915244097e+58): 3
* [misc]none:  (5.535572593369702e+234): 1
* [misc]none:  (1.1281253812481777e-05): 0
* [misc]none:  (-7.875416682732296e+153): 3
* [misc]none:  (2.953059473116585e-77): 0
* [misc]none:  (-1.7943678282584236e+305): 1
* [misc]none:  (-8.253144371362014e+269): 1
* [misc]none:  (1.6962188327979892e+156): 1
* [misc]none:  (-3.0357430466827192e+202): 1
* [misc]none:  (7.526837789610841e+223): 1
* [misc]none:  (-1.0160940285787676e+119): 5
* [misc]none:  (6.853656747763464e-298): 0
* [misc]none:  (1.5907488733120222e-68): 0
* [misc]none:  (-4.474252265840201e+73): 1
* [misc]none:  (1.3833425279814779e+61): 5
* [misc]none:  (-4.807303049624254e-15): 0
* [misc]none:  (1.8641906072853124e-122): 0
* [misc]none:  (-3.0274687809727364e-300): 0
* [misc]none:  (7.50358512361513e-69): 0
* [misc]none:  (1.5464847509065313e+116): 1
* [misc]none:  (-7.218711869488973e-243): 0
* [misc]none:  (-587327855578134.2): 1
* [misc]none:  (-3.1846212263600816e-18): 0
* [misc]none:  (4.242186305736945e+277): 1
* [misc]none:  (7.288958178428041e-256): 0
* [misc]none:  (5.409384226193089e+76): 5
* [misc]none:  (-2.319372457341872e-287): 0
* [misc]none:  (4.187380162585325e-193): 0
* [misc]none:  (-1.32843112383632e+222): 1
* [misc]none:  (-1.1299275128362188e+120): 3
* [misc]none:  (6.659322155044152e+223): 1
* [misc]none:  (-2.5903554766194963e+287): 1
* [misc]none:  (-7.84381588726745e-44): 0
* [misc]none:  (3.9248553939523704e-204): 0
* [misc]none:  (-2.4810437085982083e-110): 0
* [misc]none:  (2.623583837461381e+148): 3
* [misc]none:  (-4.810065069789271e-38): 0
* [misc]none:  (1.6579472731822137e+209): 1
* [misc]none:  (7.148125858281279e-128): 0
* [misc]none:  (-1.1410424941898917e-307): 0
* [misc]none:  (-7.884101440606108e+43): 7
* [misc]none:  (3.2782900783384907e+260): 1
* [misc]none:  (1.2654023023741973e+87): 3
* [misc]none:  (5.3297020297971135e-251): 0
* [misc]none:  (4.360233270161975e+69): 7
* [misc]none:  (-1.2973858626691246e+248): 1
* [misc]none:  (-1.3038350073216301e+175): 1
* [misc]none:  (6.186245288104366e-177): 0
* [misc]none:  (4.0009214940503626e-296): 0
* [misc]none:  (-3.1670246594447204e-244): 0
* [misc]none:  (-4.944977315465704e+134): 3
* [misc]none:  (3.7946864491882027e-174): 0
* [misc]none:  (7.967379897939584e-266): 0
* [misc]none:  (5.338353252944482e+295): 1
* [misc]none:  (2.475773952907049e-271): 0
* [misc]none:  (5.261531518469373e-290): 0
* [misc]none:  (2.555657911489638e+100): 5
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* [misc]none:  (-1.2768311469464077e-95): 0
* [misc]none:  (-4.0802892718556596e+97): 1
* [misc]none:  Picked alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (+ 1 (cos x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ 1 (cos x))
* [misc]approximate:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ 1 (cos x))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (sin x) (sin x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45
* [misc]backup-simplify:  Simplify 2/45 into 2/45
* [misc]backup-simplify:  Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4)))
* [misc]approximate:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2)
* [misc]approximate:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
* [misc]approximate:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ 1 (cos x)))
* [misc]approximate:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ 1 (cos x)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 114 ] simplifiying candidate #<alt-delta (λ (x) (log1p (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (219 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
* [exit]simplify:  Simplified to (expm1 (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
* * * * [misc]progress:  [ 2 / 114 ] simplifiying candidate #<alt-delta (λ (x) (expm1 (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (219 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
* [exit]simplify:  Simplified to (log1p (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
* * * * [misc]progress:  [ 3 / 114 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) 1))>
* * * * [misc]progress:  [ 4 / 114 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
* [enter]simplify:  Simplifying (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* [exit]simplify:  Simplified to (+ (- (log (sin x)) (log1p (cos x))) (- (log (sin x)) (+ (log x) (log x))))
* [exit]simplify:  Simplified to (+ (- (log (sin x)) (log1p (cos x))) (- (log (sin x)) (+ (log x) (log x))))
* * * * [misc]progress:  [ 5 / 114 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
* [enter]simplify:  Simplifying (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (443 enodes)
* [exit]simplify:  Simplified to (- (- (log (sin x)) (+ (log x) (log x))) (- (log1p (cos x)) (log (sin x))))
* [exit]simplify:  Simplified to (- (- (log (sin x)) (+ (log x) (log x))) (- (log1p (cos x)) (log (sin x))))
* * * * [misc]progress:  [ 6 / 114 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x)))))>
* [enter]simplify:  Simplifying (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (416 enodes)
* [exit]simplify:  Simplified to (- (- (log (sin x)) (+ (log x) (log x))) (- (log1p (cos x)) (log (sin x))))
* [exit]simplify:  Simplified to (- (- (log (sin x)) (+ (log x) (log x))) (- (log1p (cos x)) (log (sin x))))
* * * * [misc]progress:  [ 7 / 114 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (375 enodes)
* [exit]simplify:  Simplified to (log (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x))))
* [exit]simplify:  Simplified to (log (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x))))
* * * * [misc]progress:  [ 8 / 114 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* [exit]simplify:  Simplified to (exp (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x))))
* [exit]simplify:  Simplified to (exp (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x))))
* * * * [misc]progress:  [ 9 / 114 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (217 enodes)
* [exit]simplify:  Simplified to (* (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (* x x))) (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (* x x))) (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (+ 1 (cos x)))))
* * * * [misc]progress:  [ 10 / 114 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (219 enodes)
* [exit]simplify:  Simplified to (/ (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (/ (pow (* x x) 3) (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (/ (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (/ (pow (* x x) 3) (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 11 / 114 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (146 enodes)
* [exit]simplify:  Simplified to (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3)
* [exit]simplify:  Simplified to (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3)
* * * * [misc]progress:  [ 12 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (225 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))))
* [enter]simplify:  Simplifying (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (219 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
* [exit]simplify:  Simplified to (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
* * * * [misc]progress:  [ 13 / 114 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* [exit]simplify:  Simplified to (pow (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) 3)
* [exit]simplify:  Simplified to (pow (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) 3)
* * * * [misc]progress:  [ 14 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (219 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
* [exit]simplify:  Simplified to (sqrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (219 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
* [exit]simplify:  Simplified to (sqrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))
* * * * [misc]progress:  [ 15 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x))))>
* [enter]simplify:  Simplifying (- (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (* (- (sin x)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (- (sin x)) (tan (/ x 2)))
* [enter]simplify:  Simplifying (- (* x x))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (- x) x)
* [exit]simplify:  Simplified to (* (- x) x)
* * * * [misc]progress:  [ 16 / 114 ] simplifiying candidate #<alt-delta (λ (x) (- (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x))))>
* [enter]simplify:  Simplifying (/ (/ 1/2 (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (/ (/ 1/2 x) (fma (cos x) x x))
* [exit]simplify:  Simplified to (/ (/ 1/2 x) (fma (cos x) x x))
* [enter]simplify:  Simplifying (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (315 enodes)
* [exit]simplify:  Simplified to (* (/ 1/2 (fma x (cos x) x)) (/ (cos (* x 2)) x))
* [exit]simplify:  Simplified to (* (/ 1/2 (fma x (cos x) x)) (/ (cos (* x 2)) x))
* * * * [misc]progress:  [ 17 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))
* [exit]simplify:  Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))
* [enter]simplify:  Simplifying (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (tan (/ x 2)) (sin x))) x)
* [exit]simplify:  Simplified to (/ (cbrt (* (tan (/ x 2)) (sin x))) x)
* * * * [misc]progress:  [ 18 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
* [exit]simplify:  Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
* [exit]simplify:  Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
* * * * [misc]progress:  [ 19 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sin x) x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (/ (sin x) x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (cbrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (cbrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 20 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 21 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ (/ (sin x) 1) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [enter]simplify:  Simplifying (/ (/ (sin x) (+ 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) x)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) x)
* * * * [misc]progress:  [ 22 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (cos x) x x))
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (cos x) x x))
* * * * [misc]progress:  [ 23 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (sin x) (sin x)) x) (/ (/ 1 (+ 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) x)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) x) (sin x))
* [exit]simplify:  Simplified to (* (/ (sin x) x) (sin x))
* [enter]simplify:  Simplifying (/ (/ 1 (+ 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ 1 (fma (cos x) x x))
* [exit]simplify:  Simplified to (/ 1 (fma (cos x) x x))
* * * * [misc]progress:  [ 24 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x) (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (sin x)) (fma (cos x) (* (cos x) (cos x)) 1))
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (sin x)) (fma (cos x) (* (cos x) (cos x)) 1))
* [enter]simplify:  Simplifying (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (fma (cos x) (cos x) (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (fma (cos x) (cos x) (- 1 (cos x))) x)
* * * * [misc]progress:  [ 25 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) (/ (- 1 (cos x)) x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (415 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* * * * [misc]progress:  [ 26 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))>
* * * * [misc]progress:  [ 27 / 114 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ 1 (* x x))))>
* [enter]simplify:  Simplifying (/ 1 (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* * * * [misc]progress:  [ 28 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (318 enodes)
* [exit]simplify:  Simplified to (/ (fma (cos x) (* x x) (* x x)) (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (/ (fma (cos x) (* x x) (* x x)) (* (sin x) (sin x)))
* * * * [misc]progress:  [ 29 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) x))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (cos x) x x))
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (cos x) x x))
* * * * [misc]progress:  [ 30 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 31 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 32 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ 1 (cos x))) (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (/ (cbrt (+ 1 (cos x))) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 33 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 34 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (sin x) 1) (/ (* x x) (/ (sin x) (+ 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (sin x) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (495 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (tan (/ x 2)))
* [exit]simplify:  Simplified to (/ (* x x) (tan (/ x 2)))
* * * * [misc]progress:  [ 35 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (318 enodes)
* [exit]simplify:  Simplified to (/ (fma (cos x) (* x x) (* x x)) (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (/ (fma (cos x) (* x x) (* x x)) (* (sin x) (sin x)))
* * * * [misc]progress:  [ 36 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sin x) (sin x)) (/ (* x x) (/ 1 (+ 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ 1 (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (293 enodes)
* [exit]simplify:  Simplified to (fma (cos x) (* x x) (* x x))
* [exit]simplify:  Simplified to (fma (cos x) (* x x) (* x x))
* * * * [misc]progress:  [ 37 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (fma (- (cos x) 1) (cos x) 1))
* [exit]simplify:  Simplified to (/ (* x x) (fma (- (cos x) 1) (cos x) 1))
* * * * [misc]progress:  [ 38 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (/ (* x x) (- 1 (cos x)))))>
* [enter]simplify:  Simplifying (/ (* x x) (- 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* * * * [misc]progress:  [ 39 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sin x) (sin x)) (* (* x x) (+ 1 (cos x)))))>
* [enter]simplify:  Simplifying (* (* x x) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (fma (cos x) (* x x) (* x x))
* [exit]simplify:  Simplified to (fma (cos x) (* x x) (* x x))
* * * * [misc]progress:  [ 40 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (log1p (expm1 (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (expm1 (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (expm1 (+ 1 (cos x)))
* [exit]simplify:  Simplified to (expm1 (+ 1 (cos x)))
* * * * [misc]progress:  [ 41 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (expm1 (log1p (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (log1p (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log1p (+ 1 (cos x)))
* [exit]simplify:  Simplified to (log1p (+ 1 (cos x)))
* * * * [misc]progress:  [ 42 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (pow (+ 1 (cos x)) 1)) (* x x)))>
* * * * [misc]progress:  [ 43 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (exp (log (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (log (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (log1p (cos x))
* [exit]simplify:  Simplified to (log1p (cos x))
* * * * [misc]progress:  [ 44 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (log (exp (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (exp (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (* E (exp (cos x)))
* [exit]simplify:  Simplified to (* E (exp (cos x)))
* * * * [misc]progress:  [ 45 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (* (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))
* [enter]simplify:  Simplifying (cbrt (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (+ 1 (cos x)))
* [exit]simplify:  Simplified to (cbrt (+ 1 (cos x)))
* * * * [misc]progress:  [ 46 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (cbrt (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (332 enodes)
* [exit]simplify:  Simplified to (pow (+ 1 (cos x)) 3)
* [exit]simplify:  Simplified to (pow (+ 1 (cos x)) 3)
* * * * [misc]progress:  [ 47 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (* (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (cos x)))
* [enter]simplify:  Simplifying (sqrt (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (cos x)))
* * * * [misc]progress:  [ 48 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))) (* x x)))>
* [enter]simplify:  Simplifying (+ (pow 1 3) (pow (cos x) 3))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (fma (cos x) (* (cos x) (cos x)) 1)
* [exit]simplify:  Simplified to (fma (cos x) (* (cos x) (cos x)) 1)
* [enter]simplify:  Simplifying (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (136 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (fma (cos x) (- (cos x) 1) 1)
* [exit]simplify:  Simplified to (fma (cos x) (- (cos x) 1) 1)
* * * * [misc]progress:  [ 49 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (* 1 (+ 1 (cos x)))) (* x x)))>
* * * * [misc]progress:  [ 50 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (/ (- (* 1 1) (* (cos x) (cos x))) (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (- (* 1 1) (* (cos x) (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [enter]simplify:  Simplifying (- 1 (cos x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (- 1 (cos x))
* [exit]simplify:  Simplified to (- 1 (cos x))
* * * * [misc]progress:  [ 51 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
* * * * [misc]progress:  [ 52 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (log1p (expm1 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (expm1 (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (expm1 (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (expm1 (* (sin x) (sin x)))
* * * * [misc]progress:  [ 53 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (expm1 (log1p (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (log1p (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (log1p (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (log1p (* (sin x) (sin x)))
* * * * [misc]progress:  [ 54 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* 1/2 (cos (* 2 x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* 1/2 (cos (* x 2)))
* [exit]simplify:  Simplified to (* 1/2 (cos (* x 2)))
* * * * [misc]progress:  [ 55 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (- (cos (- x x)) (cos (+ x x))) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (- (cos (- x x)) (cos (+ x x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (- 1 (cos (+ x x)))
* [exit]simplify:  Simplified to (- 1 (cos (+ x x)))
* * * * [misc]progress:  [ 56 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 57 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* * * * [misc]progress:  [ 58 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 59 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 60 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 61 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (exp (+ (log (sin x)) (log (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (+ (log (sin x)) (log (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* * * * [misc]progress:  [ 62 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (exp (log (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (log (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* * * * [misc]progress:  [ 63 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (log (exp (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (exp (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (exp (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (exp (* (sin x) (sin x)))
* * * * [misc]progress:  [ 64 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (pow (* (sin x) (sin x)) 3)
* [exit]simplify:  Simplified to (pow (* (sin x) (sin x)) 3)
* * * * [misc]progress:  [ 65 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x))))
* [exit]simplify:  Simplified to (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x))))
* [enter]simplify:  Simplifying (cbrt (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (cbrt (* (sin x) (sin x)))
* * * * [misc]progress:  [ 66 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (pow (* (sin x) (sin x)) 3)
* [exit]simplify:  Simplified to (pow (* (sin x) (sin x)) 3)
* * * * [misc]progress:  [ 67 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sqrt (* (sin x) (sin x))) (sqrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (sqrt (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (fabs (sin x))
* [exit]simplify:  Simplified to (fabs (sin x))
* [enter]simplify:  Simplifying (sqrt (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (fabs (sin x))
* [exit]simplify:  Simplified to (fabs (sin x))
* * * * [misc]progress:  [ 68 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 69 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (* (cbrt (sin x)) (cbrt (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x)))
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x)))
* * * * [misc]progress:  [ 70 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (sin x) (sqrt (sin x))) (sqrt (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (sqrt (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* * * * [misc]progress:  [ 71 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (sin x) 1) (sin x)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (sin x)
* [exit]simplify:  Simplified to (sin x)
* * * * [misc]progress:  [ 72 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (sin x)) (sin x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (sin x))
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (sin x))
* * * * [misc]progress:  [ 73 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sqrt (sin x)) (* (sqrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sqrt (sin x)) (sin x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* * * * [misc]progress:  [ 74 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* * * * [misc]progress:  [ 75 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 76 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (log1p (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (expm1 (* (tan (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (expm1 (* (tan (/ x 2)) (sin x)))
* * * * [misc]progress:  [ 77 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (expm1 (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (log1p (* (tan (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (log1p (* (tan (/ x 2)) (sin x)))
* * * * [misc]progress:  [ 78 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 1) (* x x)))>
* * * * [misc]progress:  [ 79 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (- (log (sin x)) (- (log1p (cos x)) (log (sin x))))
* [exit]simplify:  Simplified to (- (log (sin x)) (- (log1p (cos x)) (log (sin x))))
* * * * [misc]progress:  [ 80 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (- (log (* (sin x) (sin x))) (log (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (- (log (* (sin x) (sin x))) (log (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (+ (- (log (sin x)) (log1p (cos x))) (log (sin x)))
* [exit]simplify:  Simplified to (+ (- (log (sin x)) (log1p (cos x))) (log (sin x)))
* * * * [misc]progress:  [ 81 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (log (* (tan (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (log (* (tan (/ x 2)) (sin x)))
* * * * [misc]progress:  [ 82 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (log (exp (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (exp (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (exp (* (tan (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (exp (* (tan (/ x 2)) (sin x)))
* * * * [misc]progress:  [ 83 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* [exit]simplify:  Simplified to (/ (pow (* (sin x) (sin x)) 3) (pow (+ 1 (cos x)) 3))
* [exit]simplify:  Simplified to (/ (pow (* (sin x) (sin x)) 3) (pow (+ 1 (cos x)) 3))
* * * * [misc]progress:  [ 84 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* [exit]simplify:  Simplified to (pow (* (tan (/ x 2)) (sin x)) 3)
* [exit]simplify:  Simplified to (pow (* (tan (/ x 2)) (sin x)) 3)
* * * * [misc]progress:  [ 85 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x))))
* [enter]simplify:  Simplifying (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (cbrt (* (tan (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (cbrt (* (tan (/ x 2)) (sin x)))
* * * * [misc]progress:  [ 86 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (414 enodes)
* [exit]simplify:  Simplified to (pow (* (sin x) (tan (/ x 2))) 3)
* [exit]simplify:  Simplified to (pow (* (sin x) (tan (/ x 2))) 3)
* * * * [misc]progress:  [ 87 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (sin x)))
* [enter]simplify:  Simplifying (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (sin x)))
* * * * [misc]progress:  [ 88 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- (* (sin x) (sin x))) (- (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (- (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sin x) (- (sin x)))
* [exit]simplify:  Simplified to (* (sin x) (- (sin x)))
* [enter]simplify:  Simplifying (- (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (- (- 1) (cos x))
* [exit]simplify:  Simplified to (- (- 1) (cos x))
* * * * [misc]progress:  [ 89 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ 1/2 (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ 1/2 (+ (cos x) 1))
* [exit]simplify:  Simplified to (/ 1/2 (+ (cos x) 1))
* [enter]simplify:  Simplifying (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (cos (* x 2)) (/ 1/2 (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (cos (* x 2)) (/ 1/2 (+ 1 (cos x))))
* * * * [misc]progress:  [ 90 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (/ (sin x) (cbrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (cbrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (sin x) (cbrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 91 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 92 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) 1) (/ (sin x) (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (sin x) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (sin x)
* [exit]simplify:  Simplified to (sin x)
* [enter]simplify:  Simplifying (/ (sin x) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (tan (/ x 2))
* [exit]simplify:  Simplified to (tan (/ x 2))
* * * * [misc]progress:  [ 93 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (* 1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* x x)))>
* * * * [misc]progress:  [ 94 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (sin x) (sin x)) (/ 1 (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ 1 (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ 1 (cos x)))
* [exit]simplify:  Simplified to (/ 1 (+ 1 (cos x)))
* * * * [misc]progress:  [ 95 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ 1 (/ (+ 1 (cos x)) (* (sin x) (sin x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (+ 1 (cos x)) (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x)))
* * * * [misc]progress:  [ 96 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (cbrt (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 97 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (sqrt (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 98 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) 1)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* * * * [misc]progress:  [ 99 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (+ 1 (cos x)) (sin x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 (cos x)) (sin x))
* [exit]simplify:  Simplified to (/ (+ 1 (cos x)) (sin x))
* * * * [misc]progress:  [ 100 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* (cos x) (cos x)) 1))
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* (cos x) (cos x)) 1))
* * * * [misc]progress:  [ 101 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (- 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 102 / 114 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- (cos (- x x)) (cos (+ x x))) (* (+ 1 (cos x)) 2)) (* x x)))>
* [enter]simplify:  Simplifying (* (+ 1 (cos x)) 2)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (fma 2 (cos x) 2)
* [exit]simplify:  Simplified to (fma 2 (cos x) 2)
* * * * [misc]progress:  [ 103 / 114 ] simplifiying candidate #<alt-event (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x)))
* * * * [misc]progress:  [ 104 / 114 ] simplifiying candidate #<alt-event (λ (x) (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2))))>
* [enter]simplify:  Simplifying (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (468 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x)))
* * * * [misc]progress:  [ 105 / 114 ] simplifiying candidate #<alt-event (λ (x) (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2))))>
* [enter]simplify:  Simplifying (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (468 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x)))
* * * * [misc]progress:  [ 106 / 114 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (* (sin x) (sin x)) (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))) (* x x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* * [misc]simplify:  iters left: 2 (490 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (- (fma (pow x 4) 1/24 2) (* (* x x) 1/2)))
* * * * [misc]progress:  [ 107 / 114 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (225 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x)))
* * * * [misc]progress:  [ 108 / 114 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (225 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x)))
* * * * [misc]progress:  [ 109 / 114 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (- (fma 2/45 (pow x 6) (* x x)) (* (pow x 4) 1/3)) (fma (* x x) (cos x) (* x x)))
* * * * [misc]progress:  [ 110 / 114 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))
* * * * [misc]progress:  [ 111 / 114 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))
* * * * [misc]progress:  [ 112 / 114 ] simplifiying candidate #<alt-event (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
* [enter]simplify:  Simplifying (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (191 enodes)
* * [misc]simplify:  iters left: 1 (259 enodes)
* [exit]simplify:  Simplified to (/ (fma (pow x 6) 1/720 (- (* (* x x) 1/2) (* (pow x 4) 1/24))) (* x x))
* * * * [misc]progress:  [ 113 / 114 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))
* * * * [misc]progress:  [ 114 / 114 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 6
* [misc]none:  All alts: 6
* [misc]none:  Fresh alt: (λ (x) (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x))))
* [misc]none:  Fresh alt: (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))
* [misc]none:  Fresh alt: (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
* [misc]none:  Fresh alt: (λ (x) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))
* [misc]none:  Fresh alt: (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))
* [misc]none:  Fresh alt: (λ (x) (cbrt (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3)))
* [misc]none:  Fresh alt indexes
* [misc]none:  (λ (x) (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x)))): 0
* [misc]none:  (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x))): 1
* [misc]none:  (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x))): 2
* [misc]none:  (λ (x) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x)))): 3
* [misc]none:  (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x))): 4
* [misc]none:  (λ (x) (cbrt (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3))): 5
* [misc]none:  Best fresh alt per point
* [misc]none:  (1.8269212298308998e+214): 1
* [misc]none:  (1789977963981.046): 2
* [misc]none:  (-1.7899154283931006e-62): 0
* [misc]none:  (1.6281717766697912e+39): 1
* [misc]none:  (3.5243641367880456e+86): 2
* [misc]none:  (-3.0008256032154172e-176): 0
* [misc]none:  (-7.986330642950897e-117): 0
* [misc]none:  (1.1611754700502491e-55): 0
* [misc]none:  (8.728226238434233e-64): 0
* [misc]none:  (-1.6133455999823373e+110): 3
* [misc]none:  (-3.9890484917100117e+257): 1
* [misc]none:  (-1.5117832743647305e-21): 0
* [misc]none:  (3.928924306566786e-70): 0
* [misc]none:  (5.222760300460367e-180): 0
* [misc]none:  (-4.026134204708055e+160): 1
* [misc]none:  (2.281413649637054e-166): 0
* [misc]none:  (4.156243175149629e-181): 0
* [misc]none:  (-9.231874857928986e-255): 0
* [misc]none:  (-1.65054043818576e-39): 0
* [misc]none:  (-1.0058709145515093e+290): 1
* [misc]none:  (-4.753699147196455e-118): 0
* [misc]none:  (-4.805584106456354e-282): 0
* [misc]none:  (-0.15058815983267834): 5
* [misc]none:  (3.714800492587865e+85): 1
* [misc]none:  (-4.7089063680709754e+260): 1
* [misc]none:  (4.344802098601123e-298): 0
* [misc]none:  (4.508329239962989e+257): 1
* [misc]none:  (-1.211264682641895e-292): 0
* [misc]none:  (1.0495684746531957e+167): 1
* [misc]none:  (2.721003254105153e-81): 0
* [misc]none:  (-3.0671153252781823e-63): 0
* [misc]none:  (-7.74362334743424e+32): 2
* [misc]none:  (-2.2376851712564295e-118): 0
* [misc]none:  (1.64239269831532e+149): 1
* [misc]none:  (-1.576948173228613e+33): 2
* [misc]none:  (9.680698928511806e-32): 0
* [misc]none:  (1.954959341132994e-252): 0
* [misc]none:  (-7.83347153590065e-06): 0
* [misc]none:  (5.521334390623478e-06): 0
* [misc]none:  (-3.229654932887624e+201): 1
* [misc]none:  (-9.827696191097834e-18): 0
* [misc]none:  (-1.3343140776153144e-304): 0
* [misc]none:  (-9.906575581428813e+195): 1
* [misc]none:  (7.10957194421701e+200): 1
* [misc]none:  (-4.7756557550151386e+160): 1
* [misc]none:  (2.4256946179069016e+78): 2
* [misc]none:  (6.207394963032113e+30): 2
* [misc]none:  (-7.218692088264328e+54): 4
* [misc]none:  (8.781920275794267e+61): 1
* [misc]none:  (3.5618749791650757e+87): 1
* [misc]none:  (4.9372470656494625e-201): 0
* [misc]none:  (1.4446355009900792e+23): 1
* [misc]none:  (-3.5082856951249954e-122): 0
* [misc]none:  (9.917487178181935e-54): 0
* [misc]none:  (-7.01049497494046e-138): 0
* [misc]none:  (3.841494064694043e+276): 1
* [misc]none:  (3.642806409692576e+70): 1
* [misc]none:  (-3.326243684234595e+241): 1
* [misc]none:  (-7.587678445119084e+247): 1
* [misc]none:  (1.518078533135906e+61): 1
* [misc]none:  (1.5052438492777668e+214): 1
* [misc]none:  (1.5460201380138582e-108): 0
* [misc]none:  (6.354924490516637e-174): 0
* [misc]none:  (1.1935837539207151e+36): 1
* [misc]none:  (-1.6901036379481523e+68): 1
* [misc]none:  (5.558607723763576e+296): 1
* [misc]none:  (-5129.844514220037): 1
* [misc]none:  (-8.518839978003416e+199): 1
* [misc]none:  (5.0618502549145104e+216): 1
* [misc]none:  (-2.0899529309308688e-173): 0
* [misc]none:  (-1.3078423091955545e+95): 1
* [misc]none:  (8.726419779901594e-156): 0
* [misc]none:  (1.5484790382727637e+258): 1
* [misc]none:  (2.2758369496030736e+44): 1
* [misc]none:  (2.7646272679971947e+138): 1
* [misc]none:  (1.8029164814151534e-305): 0
* [misc]none:  (-8.140052952226443e-29): 0
* [misc]none:  (-3.868827374468717e+273): 1
* [misc]none:  (-9.30868828487235e-242): 0
* [misc]none:  (7.865810923274834e+251): 1
* [misc]none:  (-1.977339157633397e-22): 0
* [misc]none:  (-12396.634829186376): 3
* [misc]none:  (2.0737883409435182e-60): 0
* [misc]none:  (8.938208620266642e-81): 0
* [misc]none:  (-1.0125994980022202e+121): 1
* [misc]none:  (9.949795070357293e-13): 0
* [misc]none:  (3.9753155304068916e+192): 1
* [misc]none:  (-1.5751944823937151e-208): 0
* [misc]none:  (-5.711690539427335e-292): 0
* [misc]none:  (2.0698086438592394e+99): 2
* [misc]none:  (8.149794087375897e+77): 1
* [misc]none:  (1.4399038101240658e-157): 0
* [misc]none:  (-0.0033935472374883513): 0
* [misc]none:  (-1.873060887288803e+204): 1
* [misc]none:  (6.486236446634097e-143): 0
* [misc]none:  (-6.777569686362558e+23): 4
* [misc]none:  (-3.976258322985434e+241): 1
* [misc]none:  (1.0713666056080785e-84): 0
* [misc]none:  (-1.4481584190101499e-109): 0
* [misc]none:  (1.8890847145741933e+54): 2
* [misc]none:  (5.334416108525731e+103): 2
* [misc]none:  (8.243928876632343e+120): 1
* [misc]none:  (4.915746009665795e+153): 1
* [misc]none:  (-1.2716911445748643e-294): 0
* [misc]none:  (-1.178199525484178e+291): 1
* [misc]none:  (-2.616452914461827e+123): 1
* [misc]none:  (-1.3552545859518693e-149): 0
* [misc]none:  (1.0769411808120101e+237): 1
* [misc]none:  (2.7212207505395135e+138): 3
* [misc]none:  (-1.7192030807828345e+260): 1
* [misc]none:  (-3.070590530502344e+254): 1
* [misc]none:  (4.3361011341035273e+108): 1
* [misc]none:  (-7.078347720981057e+296): 1
* [misc]none:  (-1.1633032638785635e+290): 1
* [misc]none:  (-2.3832835734274537e-77): 0
* [misc]none:  (-2.0550237535049573e-58): 0
* [misc]none:  (3.3652051120813564e-167): 0
* [misc]none:  (-1.6071108269264857e+240): 1
* [misc]none:  (2.2507296241296892e-278): 0
* [misc]none:  (-8.625502649886978e-116): 0
* [misc]none:  (-7.605291673043568e+86): 1
* [misc]none:  (1.3555181915244097e+58): 1
* [misc]none:  (5.535572593369702e+234): 1
* [misc]none:  (1.1281253812481777e-05): 0
* [misc]none:  (-7.875416682732296e+153): 1
* [misc]none:  (2.953059473116585e-77): 0
* [misc]none:  (-1.7943678282584236e+305): 1
* [misc]none:  (-8.253144371362014e+269): 1
* [misc]none:  (1.6962188327979892e+156): 1
* [misc]none:  (-3.0357430466827192e+202): 1
* [misc]none:  (7.526837789610841e+223): 1
* [misc]none:  (-1.0160940285787676e+119): 2
* [misc]none:  (6.853656747763464e-298): 0
* [misc]none:  (1.5907488733120222e-68): 0
* [misc]none:  (-4.474252265840201e+73): 1
* [misc]none:  (1.3833425279814779e+61): 2
* [misc]none:  (-4.807303049624254e-15): 0
* [misc]none:  (1.8641906072853124e-122): 0
* [misc]none:  (-3.0274687809727364e-300): 0
* [misc]none:  (7.50358512361513e-69): 0
* [misc]none:  (1.5464847509065313e+116): 1
* [misc]none:  (-7.218711869488973e-243): 0
* [misc]none:  (-587327855578134.2): 2
* [misc]none:  (-3.1846212263600816e-18): 0
* [misc]none:  (4.242186305736945e+277): 1
* [misc]none:  (7.288958178428041e-256): 0
* [misc]none:  (5.409384226193089e+76): 2
* [misc]none:  (-2.319372457341872e-287): 0
* [misc]none:  (4.187380162585325e-193): 0
* [misc]none:  (-1.32843112383632e+222): 1
* [misc]none:  (-1.1299275128362188e+120): 1
* [misc]none:  (6.659322155044152e+223): 1
* [misc]none:  (-2.5903554766194963e+287): 1
* [misc]none:  (-7.84381588726745e-44): 0
* [misc]none:  (3.9248553939523704e-204): 0
* [misc]none:  (-2.4810437085982083e-110): 0
* [misc]none:  (2.623583837461381e+148): 1
* [misc]none:  (-4.810065069789271e-38): 0
* [misc]none:  (1.6579472731822137e+209): 1
* [misc]none:  (7.148125858281279e-128): 0
* [misc]none:  (-1.1410424941898917e-307): 0
* [misc]none:  (-7.884101440606108e+43): 3
* [misc]none:  (3.2782900783384907e+260): 1
* [misc]none:  (1.2654023023741973e+87): 1
* [misc]none:  (5.3297020297971135e-251): 0
* [misc]none:  (4.360233270161975e+69): 2
* [misc]none:  (-1.2973858626691246e+248): 1
* [misc]none:  (-1.3038350073216301e+175): 1
* [misc]none:  (6.186245288104366e-177): 0
* [misc]none:  (4.0009214940503626e-296): 0
* [misc]none:  (-3.1670246594447204e-244): 0
* [misc]none:  (-4.944977315465704e+134): 1
* [misc]none:  (3.7946864491882027e-174): 0
* [misc]none:  (7.967379897939584e-266): 0
* [misc]none:  (5.338353252944482e+295): 1
* [misc]none:  (2.475773952907049e-271): 0
* [misc]none:  (5.261531518469373e-290): 0
* [misc]none:  (2.555657911489638e+100): 2
* [misc]none:  (2.1545947154827896e+229): 1
* [misc]none:  (2.6209188754640728e+107): 1
* [misc]none:  (1.0367654190214238e+155): 1
* [misc]none:  (7.510167254913154e-75): 0
* [misc]none:  (-1.879438806525893e-17): 0
* [misc]none:  (-2.2458375637103902e-132): 0
* [misc]none:  (-9.791675790911144e+50): 1
* [misc]none:  (5.462119320563526e+16): 2
* [misc]none:  (-7.461408405072584e-11): 0
* [misc]none:  (2.819362408294866e+247): 1
* [misc]none:  (5.576422555370537e+229): 1
* [misc]none:  (-1.2634592988240547e+184): 1
* [misc]none:  (-2.046312445248254e+167): 1
* [misc]none:  (-2.5768688170454604e-166): 0
* [misc]none:  (-2.3695265370701153e-160): 0
* [misc]none:  (5.627370989949808e+102): 1
* [misc]none:  (-1.1307817728525e-192): 0
* [misc]none:  (2.729599448498006e-142): 0
* [misc]none:  (1.268161462925599e-223): 0
* [misc]none:  (1.8558602765266175e+154): 1
* [misc]none:  (8.010626774664954e-118): 0
* [misc]none:  (3.197294045188449e-213): 0
* [misc]none:  (-3.8061627632242695e+220): 1
* [misc]none:  (1.4601547257514377e-37): 0
* [misc]none:  (6.851358071879168e+277): 1
* [misc]none:  (-1.4026731237337527e+299): 1
* [misc]none:  (1.2309532522175715e-227): 0
* [misc]none:  (5.849070875002102e-168): 0
* [misc]none:  (-1.8322924530722165e+176): 1
* [misc]none:  (2.6481468427206757e-89): 0
* [misc]none:  (1.8304705420573128e+300): 1
* [misc]none:  (5.162437418074754e-216): 0
* [misc]none:  (5.884862647618943e+102): 2
* [misc]none:  (1.3917287586797797e+215): 1
* [misc]none:  (-1.9484215729108895e+208): 1
* [misc]none:  (2.7534373406057187e+274): 1
* [misc]none:  (-6.754823491493555e-24): 0
* [misc]none:  (-2.4266153803656513e-110): 0
* [misc]none:  (2.802805856656922e+299): 1
* [misc]none:  (3267744482859.4893): 1
* [misc]none:  (-2.125403821003621e+259): 1
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* [misc]none:  (-8.921793657844595e+241): 1
* [misc]none:  (-1.2504926677350782e+286): 1
* [misc]none:  (2142884768423.9766): 3
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* [misc]none:  (6.352964037059704e-48): 0
* [misc]none:  (2.0675888684205106e-37): 0
* [misc]none:  (3.9955309460256863e-193): 0
* [misc]none:  (-6.802352065741283e-237): 0
* [misc]none:  (1.7860466700053246e+179): 1
* [misc]none:  (-2.1540953112813662e-178): 0
* [misc]none:  (-1.1984894069610523e-255): 0
* [misc]none:  (2.286904329311883e+176): 1
* [misc]none:  (-3.0869297245392077e+307): 1
* [misc]none:  (-7.242911167116891e-28): 0
* [misc]none:  (-3.652961257321153e+269): 1
* [misc]none:  (-1.981435962910265e-248): 0
* [misc]none:  (1.434478809327731e-162): 0
* [misc]none:  (1.7673263201240207e+200): 1
* [misc]none:  (4.1358060479750856e+163): 1
* [misc]none:  (2.77377213114978e+181): 1
* [misc]none:  (-2.5233739143143128e-166): 0
* [misc]none:  (7.0699594918945535e-177): 0
* [misc]none:  (1.5437232098269186e+160): 1
* [misc]none:  (-5.1984298768145166e+116): 2
* [misc]none:  (-1.2768311469464077e-95): 0
* [misc]none:  (-4.0802892718556596e+97): 1
* [misc]none:  All alt indexes
* [misc]none:  (λ (x) (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x)))): 0
* [misc]none:  (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x))): 1
* [misc]none:  (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x))): 2
* [misc]none:  (λ (x) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x)))): 3
* [misc]none:  (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x))): 4
* [misc]none:  (λ (x) (cbrt (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3))): 5
* [misc]none:  Best alt per point
* [misc]none:  (1.8269212298308998e+214): 1
* [misc]none:  (1789977963981.046): 2
* [misc]none:  (-1.7899154283931006e-62): 0
* [misc]none:  (1.6281717766697912e+39): 1
* [misc]none:  (3.5243641367880456e+86): 2
* [misc]none:  (-3.0008256032154172e-176): 0
* [misc]none:  (-7.986330642950897e-117): 0
* [misc]none:  (1.1611754700502491e-55): 0
* [misc]none:  (8.728226238434233e-64): 0
* [misc]none:  (-1.6133455999823373e+110): 3
* [misc]none:  (-3.9890484917100117e+257): 1
* [misc]none:  (-1.5117832743647305e-21): 0
* [misc]none:  (3.928924306566786e-70): 0
* [misc]none:  (5.222760300460367e-180): 0
* [misc]none:  (-4.026134204708055e+160): 1
* [misc]none:  (2.281413649637054e-166): 0
* [misc]none:  (4.156243175149629e-181): 0
* [misc]none:  (-9.231874857928986e-255): 0
* [misc]none:  (-1.65054043818576e-39): 0
* [misc]none:  (-1.0058709145515093e+290): 1
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* [misc]none:  (-4.805584106456354e-282): 0
* [misc]none:  (-0.15058815983267834): 5
* [misc]none:  (3.714800492587865e+85): 1
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* [misc]none:  (2.721003254105153e-81): 0
* [misc]none:  (-3.0671153252781823e-63): 0
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* [misc]none:  (1.8304705420573128e+300): 1
* [misc]none:  (5.162437418074754e-216): 0
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* [misc]none:  (3267744482859.4893): 1
* [misc]none:  (-2.125403821003621e+259): 1
* [misc]none:  (-5.821161027096475e-49): 0
* [misc]none:  (4.3906960513010925e-288): 0
* [misc]none:  (9.735553079850294e-195): 0
* [misc]none:  (-2.4642361000377723e+179): 1
* [misc]none:  (-223338690.5739434): 1
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* [misc]none:  (6.454193966659965e-12): 0
* [misc]none:  (1.2843486366644783e+218): 1
* [misc]none:  (1.6598105327534946e+245): 1
* [misc]none:  (-2.2565106546246065e+111): 3
* [misc]none:  (-8.921793657844595e+241): 1
* [misc]none:  (-1.2504926677350782e+286): 1
* [misc]none:  (2142884768423.9766): 3
* [misc]none:  (-1.0342577969053837e-127): 0
* [misc]none:  (1.1325567110922881e-222): 0
* [misc]none:  (6.352964037059704e-48): 0
* [misc]none:  (2.0675888684205106e-37): 0
* [misc]none:  (3.9955309460256863e-193): 0
* [misc]none:  (-6.802352065741283e-237): 0
* [misc]none:  (1.7860466700053246e+179): 1
* [misc]none:  (-2.1540953112813662e-178): 0
* [misc]none:  (-1.1984894069610523e-255): 0
* [misc]none:  (2.286904329311883e+176): 1
* [misc]none:  (-3.0869297245392077e+307): 1
* [misc]none:  (-7.242911167116891e-28): 0
* [misc]none:  (-3.652961257321153e+269): 1
* [misc]none:  (-1.981435962910265e-248): 0
* [misc]none:  (1.434478809327731e-162): 0
* [misc]none:  (1.7673263201240207e+200): 1
* [misc]none:  (4.1358060479750856e+163): 1
* [misc]none:  (2.77377213114978e+181): 1
* [misc]none:  (-2.5233739143143128e-166): 0
* [misc]none:  (7.0699594918945535e-177): 0
* [misc]none:  (1.5437232098269186e+160): 1
* [misc]none:  (-5.1984298768145166e+116): 2
* [misc]none:  (-1.2768311469464077e-95): 0
* [misc]none:  (-4.0802892718556596e+97): 1
* [misc]none:  Picked alt (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (sin x) x) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin x) x) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (sin x) x) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6
* [misc]backup-simplify:  Simplify -1/6 into -1/6
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120
* [misc]backup-simplify:  Simplify 1/120 into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ 1 (* 1/120 (pow x 4))) (* 1/6 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ (sin (/ 1 x)) (/ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x)
* [misc]approximate:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (/ 1 (- x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) -1) into (* -1 (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) -1) into (* -1 (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (* -1 (sin (/ -1 x))) into (* -1 (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1 (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x)
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (tan (/ x 2)) x) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (tan (/ x 2)) x) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (tan (/ x 2)) x) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [misc]backup-simplify:  Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240
* [misc]backup-simplify:  Simplify 1/240 into 1/240
* [misc]backup-simplify:  Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ 1/2 (+ (* 1/24 (pow x 2)) (* 1/240 (pow x 4))))
* [misc]approximate:  Taking taylor expansion of (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
* [misc]approximate:  Taking taylor expansion of (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) -1) into (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
* [misc]taylor:  Taking taylor expansion of (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) -1) into (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1 (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (sin x) x) (/ (tan (/ x 2)) x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sin x) x) (/ (tan (/ x 2)) x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) x) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (tan (/ x 2)) x) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ (sin x) x) (/ (tan (/ x 2)) x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) x) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (tan (/ x 2)) x) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1/2) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1/2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [misc]backup-simplify:  Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2))))) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (* (sin (/ 1/2 (/ 1 x))) (sin (/ 1 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
* [misc]approximate:  Taking taylor expansion of (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) -1) into (* -1 (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) -1) into (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
* [misc]taylor:  Taking taylor expansion of (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) -1) into (* -1 (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) -1) into (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (* (* -1 (sin (/ -1 x))) (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sin (/ -1 x))) 0) (* 0 (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sin (/ -1 x))) 0) (+ (* 0 0) (* 0 (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (* (sin (/ -1/2 (/ 1 (- x)))) (sin (/ -1 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (log1p (expm1 (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (expm1 (/ (sin x) x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (sin x) x))
* [exit]simplify:  Simplified to (expm1 (/ (sin x) x))
* * * * [misc]progress:  [ 2 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (expm1 (log1p (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (log1p (/ (sin x) x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (log1p (/ (sin x) x))
* [exit]simplify:  Simplified to (log1p (/ (sin x) x))
* * * * [misc]progress:  [ 3 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (pow (/ (sin x) x) 1) (/ (tan (/ x 2)) x)))>
* * * * [misc]progress:  [ 4 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (exp (log (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (log (/ (sin x) x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (log (/ (sin x) x))
* [exit]simplify:  Simplified to (log (/ (sin x) x))
* * * * [misc]progress:  [ 5 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (log (exp (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (exp (/ (sin x) x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (exp (/ (sin x) x))
* [exit]simplify:  Simplified to (exp (/ (sin x) x))
* * * * [misc]progress:  [ 6 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (* (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x)))
* [exit]simplify:  Simplified to (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x)))
* [enter]simplify:  Simplifying (cbrt (/ (sin x) x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sin x) x))
* [exit]simplify:  Simplified to (cbrt (/ (sin x) x))
* * * * [misc]progress:  [ 7 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (cbrt (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (pow (/ (sin x) x) 3)
* [exit]simplify:  Simplified to (pow (/ (sin x) x) 3)
* * * * [misc]progress:  [ 8 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x))) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (sqrt (/ (sin x) x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sin x) x))
* [exit]simplify:  Simplified to (sqrt (/ (sin x) x))
* [enter]simplify:  Simplifying (sqrt (/ (sin x) x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sin x) x))
* [exit]simplify:  Simplified to (sqrt (/ (sin x) x))
* * * * [misc]progress:  [ 9 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (- (sin x)) (- x)) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (- (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sin x))
* [exit]simplify:  Simplified to (- (sin x))
* [enter]simplify:  Simplifying (- x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- x)
* [exit]simplify:  Simplified to (- x)
* * * * [misc]progress:  [ 10 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (* 1 (/ (sin x) x)) (/ (tan (/ x 2)) x)))>
* * * * [misc]progress:  [ 11 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sin x) (/ 1 x)) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* * * * [misc]progress:  [ 12 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (/ x (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (/ x (sin x))
* [exit]simplify:  Simplified to (/ x (sin x))
* * * * [misc]progress:  [ 13 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ x (cbrt (sin x)))) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (/ x (cbrt (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ x (cbrt (sin x)))
* [exit]simplify:  Simplified to (/ x (cbrt (sin x)))
* * * * [misc]progress:  [ 14 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (sin x)) (/ x (sqrt (sin x)))) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (/ x (sqrt (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (sin x)))
* [exit]simplify:  Simplified to (/ x (sqrt (sin x)))
* * * * [misc]progress:  [ 15 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 (/ x (sin x))) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (/ x (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (/ x (sin x))
* [exit]simplify:  Simplified to (/ x (sin x))
* * * * [misc]progress:  [ 16 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (log1p (expm1 (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (expm1 (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (tan (/ x 2)) x))
* [exit]simplify:  Simplified to (expm1 (/ (tan (/ x 2)) x))
* * * * [misc]progress:  [ 17 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (expm1 (log1p (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (log1p (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (log1p (/ (tan (/ x 2)) x))
* [exit]simplify:  Simplified to (log1p (/ (tan (/ x 2)) x))
* * * * [misc]progress:  [ 18 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (pow (/ (tan (/ x 2)) x) 1)))>
* * * * [misc]progress:  [ 19 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (exp (log (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (log (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (log (/ (tan (/ x 2)) x))
* [exit]simplify:  Simplified to (log (/ (tan (/ x 2)) x))
* * * * [misc]progress:  [ 20 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (log (exp (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (exp (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (exp (/ (tan (/ x 2)) x))
* [exit]simplify:  Simplified to (exp (/ (tan (/ x 2)) x))
* * * * [misc]progress:  [ 21 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (* (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))
* [exit]simplify:  Simplified to (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))
* [enter]simplify:  Simplifying (cbrt (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (tan (/ x 2)) x))
* [exit]simplify:  Simplified to (cbrt (/ (tan (/ x 2)) x))
* * * * [misc]progress:  [ 22 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (cbrt (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (pow (/ (tan (/ x 2)) x) 3)
* [exit]simplify:  Simplified to (pow (/ (tan (/ x 2)) x) 3)
* * * * [misc]progress:  [ 23 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (sqrt (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (tan (/ x 2)) x))
* [exit]simplify:  Simplified to (sqrt (/ (tan (/ x 2)) x))
* [enter]simplify:  Simplifying (sqrt (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (tan (/ x 2)) x))
* [exit]simplify:  Simplified to (sqrt (/ (tan (/ x 2)) x))
* * * * [misc]progress:  [ 24 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (/ (- (tan (/ x 2))) (- x))))>
* [enter]simplify:  Simplifying (- (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* [exit]simplify:  Simplified to (- (tan (/ x 2)))
* [exit]simplify:  Simplified to (- (tan (/ x 2)))
* [enter]simplify:  Simplifying (- x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- x)
* [exit]simplify:  Simplified to (- x)
* * * * [misc]progress:  [ 25 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (* 1 (/ (tan (/ x 2)) x))))>
* * * * [misc]progress:  [ 26 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (* (tan (/ x 2)) (/ 1 x))))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* * * * [misc]progress:  [ 27 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (/ 1 (/ x (tan (/ x 2))))))>
* [enter]simplify:  Simplifying (/ x (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* [exit]simplify:  Simplified to (/ x (tan (/ x 2)))
* [exit]simplify:  Simplified to (/ x (tan (/ x 2)))
* * * * [misc]progress:  [ 28 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ x (cbrt (tan (/ x 2)))))))>
* [enter]simplify:  Simplifying (/ x (cbrt (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (/ x (cbrt (tan (/ x 2))))
* [exit]simplify:  Simplified to (/ x (cbrt (tan (/ x 2))))
* * * * [misc]progress:  [ 29 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (/ x (sqrt (tan (/ x 2)))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (tan (/ x 2))))
* [exit]simplify:  Simplified to (/ x (sqrt (tan (/ x 2))))
* * * * [misc]progress:  [ 30 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (/ 1 (/ x (tan (/ x 2))))))>
* [enter]simplify:  Simplifying (/ x (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* [exit]simplify:  Simplified to (/ x (tan (/ x 2)))
* [exit]simplify:  Simplified to (/ x (tan (/ x 2)))
* * * * [misc]progress:  [ 31 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) x) (/ (sin (/ x 2)) (* x (cos (/ x 2))))))>
* [enter]simplify:  Simplifying (* x (cos (/ x 2)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (* (cos (/ x 2)) x)
* [exit]simplify:  Simplified to (* (cos (/ x 2)) x)
* * * * [misc]progress:  [ 32 / 64 ] simplifiying candidate #<alt-delta (λ (x) (log1p (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (expm1 (* (/ (sin x) (* x x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (expm1 (* (/ (sin x) (* x x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 33 / 64 ] simplifiying candidate #<alt-delta (λ (x) (expm1 (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (log1p (* (/ (sin x) (* x x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (log1p (* (/ (sin x) (* x x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 34 / 64 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (/ (sin x) x) (/ (tan (/ x 2)) x)) 1))>
* [enter]simplify:  Simplifying (* (/ (sin x) x) (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 35 / 64 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (/ (sin x) x) (/ (tan (/ x 2)) x)) 1))>
* * * * [misc]progress:  [ 36 / 64 ] simplifiying candidate #<alt-delta (λ (x) (exp (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (- (log (tan (/ x 2))) (- (+ (log x) (log x)) (log (sin x))))
* [exit]simplify:  Simplified to (- (log (tan (/ x 2))) (- (+ (log x) (log x)) (log (sin x))))
* * * * [misc]progress:  [ 37 / 64 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (log (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (log (* (/ (sin x) (* x x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (log (* (/ (sin x) (* x x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 38 / 64 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (exp (* (tan (/ x 2)) (/ (sin x) (* x x))))
* [exit]simplify:  Simplified to (exp (* (tan (/ x 2)) (/ (sin x) (* x x))))
* * * * [misc]progress:  [ 39 / 64 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (361 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ (sin x) x) (/ (sin x) x)) (* (sin x) (tan (/ x 2)))) (* (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (/ (* (* (/ (sin x) x) (/ (sin x) x)) (* (sin x) (tan (/ x 2)))) (* (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 40 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
* [enter]simplify:  Simplifying (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 41 / 64 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (257 enodes)
* [exit]simplify:  Simplified to (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3)
* [exit]simplify:  Simplified to (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3)
* * * * [misc]progress:  [ 42 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (sin x) (* x x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (sqrt (* (/ (sin x) (* x x)) (tan (/ x 2))))
* [enter]simplify:  Simplifying (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (sin x) (* x x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (sqrt (* (/ (sin x) (* x x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 43 / 64 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sin x) (tan (/ x 2))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sin x) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (sin x) (tan (/ x 2)))
* [enter]simplify:  Simplifying (* x x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (* x x)
* [exit]simplify:  Simplified to (* x x)
* * * * [misc]progress:  [ 44 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))))>
* * * * [misc]progress:  [ 45 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (cbrt (/ (tan (/ x 2)) x))))>
* [enter]simplify:  Simplifying (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (/ (sin x) x))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (/ (sin x) x))
* * * * [misc]progress:  [ 46 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x))))>
* [enter]simplify:  Simplifying (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (tan (/ x 2)) x)) (/ (sin x) x))
* [exit]simplify:  Simplified to (* (sqrt (/ (tan (/ x 2)) x)) (/ (sin x) x))
* * * * [misc]progress:  [ 47 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sin x) x) 1) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (* (/ (sin x) x) 1)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [exit]simplify:  Simplified to (/ (sin x) x)
* * * * [misc]progress:  [ 48 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sin x) x) (tan (/ x 2))) (/ 1 x)))>
* [enter]simplify:  Simplifying (* (/ (sin x) x) (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) x) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (/ (sin x) x) (tan (/ x 2)))
* * * * [misc]progress:  [ 49 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x))
* [exit]simplify:  Simplified to (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x))
* * * * [misc]progress:  [ 50 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (sin x) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x))
* [exit]simplify:  Simplified to (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x))
* * * * [misc]progress:  [ 51 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))))>
* [enter]simplify:  Simplifying (* (/ (sin x) x) (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 52 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (sin x) (* (/ 1 x) (/ (tan (/ x 2)) x))))>
* [enter]simplify:  Simplifying (* (/ 1 x) (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (* x x))
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (* x x))
* * * * [misc]progress:  [ 53 / 64 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) x) (tan (/ x 2))) x))>
* [enter]simplify:  Simplifying (* (/ (sin x) x) (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) x) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (/ (sin x) x) (tan (/ x 2)))
* * * * [misc]progress:  [ 54 / 64 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))>
* [enter]simplify:  Simplifying (* (sin x) (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) x) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (/ (sin x) x) (tan (/ x 2)))
* * * * [misc]progress:  [ 55 / 64 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (tan (/ x 2)) x) (/ (sin x) x)))>
* * * * [misc]progress:  [ 56 / 64 ] simplifiying candidate #<alt-event (λ (x) (* (- (+ 1 (* 1/120 (pow x 4))) (* 1/6 (pow x 2))) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (* (- (+ 1 (* 1/120 (pow x 4))) (* 1/6 (pow x 2))) (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (225 enodes)
* [exit]simplify:  Simplified to (fma (/ (tan (/ x 2)) x) (- (* 1/120 (pow x 4)) (* (* 1/6 x) x)) (/ (tan (/ x 2)) x))
* * * * [misc]progress:  [ 57 / 64 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (* (/ (sin x) x) (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 58 / 64 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (* (/ (sin x) x) (/ (tan (/ x 2)) x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 59 / 64 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sin x) x) (+ 1/2 (+ (* 1/24 (pow x 2)) (* 1/240 (pow x 4))))))>
* [enter]simplify:  Simplifying (* (/ (sin x) x) (+ 1/2 (+ (* 1/24 (pow x 2)) (* 1/240 (pow x 4)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (417 enodes)
* [exit]simplify:  Simplified to (* (fma 1/240 (pow x 4) (fma (* x x) 1/24 1/2)) (/ (sin x) x))
* * * * [misc]progress:  [ 60 / 64 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))))>
* [enter]simplify:  Simplifying (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin (* 1/2 x)) x) (* (cos (* 1/2 x)) (/ x (sin x))))
* * * * [misc]progress:  [ 61 / 64 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))))>
* [enter]simplify:  Simplifying (* (/ (sin x) x) (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin (* 1/2 x)) x) (* (cos (* 1/2 x)) (/ x (sin x))))
* * * * [misc]progress:  [ 62 / 64 ] simplifiying candidate #<alt-event (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x)))
* * * * [misc]progress:  [ 63 / 64 ] simplifiying candidate #<alt-event (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (sin (* x 1/2)) (cos (* x 1/2))) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 64 / 64 ] simplifiying candidate #<alt-event (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (sin (* x 1/2)) (cos (* x 1/2))) (/ (sin x) (* x x)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 5
* [misc]none:  All alts: 5
* [misc]none:  Fresh alt: (λ (x) (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x))))
* [misc]none:  Fresh alt: (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))
* [misc]none:  Non-fresh alt: (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))
* [misc]none:  Fresh alt: (λ (x) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))
* [misc]none:  Fresh alt: (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))
* [misc]none:  Fresh alt: (λ (x) (cbrt (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3)))
* [misc]none:  Fresh alt indexes
* [misc]none:  (λ (x) (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x)))): 0
* [misc]none:  (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x))): 1
* [misc]none:  (λ (x) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x)))): 2
* [misc]none:  (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x))): 3
* [misc]none:  (λ (x) (cbrt (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3))): 4
* [misc]none:  Best fresh alt per point
* [misc]none:  (1.8269212298308998e+214): 1
* [misc]none:  (1789977963981.046): 2
* [misc]none:  (-1.7899154283931006e-62): 0
* [misc]none:  (1.6281717766697912e+39): 1
* [misc]none:  (3.5243641367880456e+86): 2
* [misc]none:  (-3.0008256032154172e-176): 0
* [misc]none:  (-7.986330642950897e-117): 0
* [misc]none:  (1.1611754700502491e-55): 0
* [misc]none:  (8.728226238434233e-64): 0
* [misc]none:  (-1.6133455999823373e+110): 2
* [misc]none:  (-3.9890484917100117e+257): 1
* [misc]none:  (-1.5117832743647305e-21): 0
* [misc]none:  (3.928924306566786e-70): 0
* [misc]none:  (5.222760300460367e-180): 0
* [misc]none:  (-4.026134204708055e+160): 1
* [misc]none:  (2.281413649637054e-166): 0
* [misc]none:  (4.156243175149629e-181): 0
* [misc]none:  (-9.231874857928986e-255): 0
* [misc]none:  (-1.65054043818576e-39): 0
* [misc]none:  (-1.0058709145515093e+290): 1
* [misc]none:  (-4.753699147196455e-118): 0
* [misc]none:  (-4.805584106456354e-282): 0
* [misc]none:  (-0.15058815983267834): 4
* [misc]none:  (3.714800492587865e+85): 1
* [misc]none:  (-4.7089063680709754e+260): 1
* [misc]none:  (4.344802098601123e-298): 0
* [misc]none:  (4.508329239962989e+257): 1
* [misc]none:  (-1.211264682641895e-292): 0
* [misc]none:  (1.0495684746531957e+167): 1
* [misc]none:  (2.721003254105153e-81): 0
* [misc]none:  (-3.0671153252781823e-63): 0
* [misc]none:  (-7.74362334743424e+32): 2
* [misc]none:  (-2.2376851712564295e-118): 0
* [misc]none:  (1.64239269831532e+149): 1
* [misc]none:  (-1.576948173228613e+33): 2
* [misc]none:  (9.680698928511806e-32): 0
* [misc]none:  (1.954959341132994e-252): 0
* [misc]none:  (-7.83347153590065e-06): 0
* [misc]none:  (5.521334390623478e-06): 0
* [misc]none:  (-3.229654932887624e+201): 1
* [misc]none:  (-9.827696191097834e-18): 0
* [misc]none:  (-1.3343140776153144e-304): 0
* [misc]none:  (-9.906575581428813e+195): 1
* [misc]none:  (7.10957194421701e+200): 1
* [misc]none:  (-4.7756557550151386e+160): 1
* [misc]none:  (2.4256946179069016e+78): 2
* [misc]none:  (6.207394963032113e+30): 2
* [misc]none:  (-7.218692088264328e+54): 3
* [misc]none:  (8.781920275794267e+61): 1
* [misc]none:  (3.5618749791650757e+87): 1
* [misc]none:  (4.9372470656494625e-201): 0
* [misc]none:  (1.4446355009900792e+23): 1
* [misc]none:  (-3.5082856951249954e-122): 0
* [misc]none:  (9.917487178181935e-54): 0
* [misc]none:  (-7.01049497494046e-138): 0
* [misc]none:  (3.841494064694043e+276): 1
* [misc]none:  (3.642806409692576e+70): 1
* [misc]none:  (-3.326243684234595e+241): 1
* [misc]none:  (-7.587678445119084e+247): 1
* [misc]none:  (1.518078533135906e+61): 1
* [misc]none:  (1.5052438492777668e+214): 1
* [misc]none:  (1.5460201380138582e-108): 0
* [misc]none:  (6.354924490516637e-174): 0
* [misc]none:  (1.1935837539207151e+36): 1
* [misc]none:  (-1.6901036379481523e+68): 1
* [misc]none:  (5.558607723763576e+296): 1
* [misc]none:  (-5129.844514220037): 1
* [misc]none:  (-8.518839978003416e+199): 1
* [misc]none:  (5.0618502549145104e+216): 1
* [misc]none:  (-2.0899529309308688e-173): 0
* [misc]none:  (-1.3078423091955545e+95): 1
* [misc]none:  (8.726419779901594e-156): 0
* [misc]none:  (1.5484790382727637e+258): 1
* [misc]none:  (2.2758369496030736e+44): 1
* [misc]none:  (2.7646272679971947e+138): 1
* [misc]none:  (1.8029164814151534e-305): 0
* [misc]none:  (-8.140052952226443e-29): 0
* [misc]none:  (-3.868827374468717e+273): 1
* [misc]none:  (-9.30868828487235e-242): 0
* [misc]none:  (7.865810923274834e+251): 1
* [misc]none:  (-1.977339157633397e-22): 0
* [misc]none:  (-12396.634829186376): 2
* [misc]none:  (2.0737883409435182e-60): 0
* [misc]none:  (8.938208620266642e-81): 0
* [misc]none:  (-1.0125994980022202e+121): 1
* [misc]none:  (9.949795070357293e-13): 0
* [misc]none:  (3.9753155304068916e+192): 1
* [misc]none:  (-1.5751944823937151e-208): 0
* [misc]none:  (-5.711690539427335e-292): 0
* [misc]none:  (2.0698086438592394e+99): 2
* [misc]none:  (8.149794087375897e+77): 1
* [misc]none:  (1.4399038101240658e-157): 0
* [misc]none:  (-0.0033935472374883513): 0
* [misc]none:  (-1.873060887288803e+204): 1
* [misc]none:  (6.486236446634097e-143): 0
* [misc]none:  (-6.777569686362558e+23): 3
* [misc]none:  (-3.976258322985434e+241): 1
* [misc]none:  (1.0713666056080785e-84): 0
* [misc]none:  (-1.4481584190101499e-109): 0
* [misc]none:  (1.8890847145741933e+54): 2
* [misc]none:  (5.334416108525731e+103): 2
* [misc]none:  (8.243928876632343e+120): 1
* [misc]none:  (4.915746009665795e+153): 1
* [misc]none:  (-1.2716911445748643e-294): 0
* [misc]none:  (-1.178199525484178e+291): 1
* [misc]none:  (-2.616452914461827e+123): 1
* [misc]none:  (-1.3552545859518693e-149): 0
* [misc]none:  (1.0769411808120101e+237): 1
* [misc]none:  (2.7212207505395135e+138): 2
* [misc]none:  (-1.7192030807828345e+260): 1
* [misc]none:  (-3.070590530502344e+254): 1
* [misc]none:  (4.3361011341035273e+108): 1
* [misc]none:  (-7.078347720981057e+296): 1
* [misc]none:  (-1.1633032638785635e+290): 1
* [misc]none:  (-2.3832835734274537e-77): 0
* [misc]none:  (-2.0550237535049573e-58): 0
* [misc]none:  (3.3652051120813564e-167): 0
* [misc]none:  (-1.6071108269264857e+240): 1
* [misc]none:  (2.2507296241296892e-278): 0
* [misc]none:  (-8.625502649886978e-116): 0
* [misc]none:  (-7.605291673043568e+86): 1
* [misc]none:  (1.3555181915244097e+58): 1
* [misc]none:  (5.535572593369702e+234): 1
* [misc]none:  (1.1281253812481777e-05): 0
* [misc]none:  (-7.875416682732296e+153): 1
* [misc]none:  (2.953059473116585e-77): 0
* [misc]none:  (-1.7943678282584236e+305): 1
* [misc]none:  (-8.253144371362014e+269): 1
* [misc]none:  (1.6962188327979892e+156): 1
* [misc]none:  (-3.0357430466827192e+202): 1
* [misc]none:  (7.526837789610841e+223): 1
* [misc]none:  (-1.0160940285787676e+119): 3
* [misc]none:  (6.853656747763464e-298): 0
* [misc]none:  (1.5907488733120222e-68): 0
* [misc]none:  (-4.474252265840201e+73): 1
* [misc]none:  (1.3833425279814779e+61): 2
* [misc]none:  (-4.807303049624254e-15): 0
* [misc]none:  (1.8641906072853124e-122): 0
* [misc]none:  (-3.0274687809727364e-300): 0
* [misc]none:  (7.50358512361513e-69): 0
* [misc]none:  (1.5464847509065313e+116): 1
* [misc]none:  (-7.218711869488973e-243): 0
* [misc]none:  (-587327855578134.2): 2
* [misc]none:  (-3.1846212263600816e-18): 0
* [misc]none:  (4.242186305736945e+277): 1
* [misc]none:  (7.288958178428041e-256): 0
* [misc]none:  (5.409384226193089e+76): 2
* [misc]none:  (-2.319372457341872e-287): 0
* [misc]none:  (4.187380162585325e-193): 0
* [misc]none:  (-1.32843112383632e+222): 1
* [misc]none:  (-1.1299275128362188e+120): 1
* [misc]none:  (6.659322155044152e+223): 1
* [misc]none:  (-2.5903554766194963e+287): 1
* [misc]none:  (-7.84381588726745e-44): 0
* [misc]none:  (3.9248553939523704e-204): 0
* [misc]none:  (-2.4810437085982083e-110): 0
* [misc]none:  (2.623583837461381e+148): 1
* [misc]none:  (-4.810065069789271e-38): 0
* [misc]none:  (1.6579472731822137e+209): 1
* [misc]none:  (7.148125858281279e-128): 0
* [misc]none:  (-1.1410424941898917e-307): 0
* [misc]none:  (-7.884101440606108e+43): 2
* [misc]none:  (3.2782900783384907e+260): 1
* [misc]none:  (1.2654023023741973e+87): 1
* [misc]none:  (5.3297020297971135e-251): 0
* [misc]none:  (4.360233270161975e+69): 2
* [misc]none:  (-1.2973858626691246e+248): 1
* [misc]none:  (-1.3038350073216301e+175): 1
* [misc]none:  (6.186245288104366e-177): 0
* [misc]none:  (4.0009214940503626e-296): 0
* [misc]none:  (-3.1670246594447204e-244): 0
* [misc]none:  (-4.944977315465704e+134): 1
* [misc]none:  (3.7946864491882027e-174): 0
* [misc]none:  (7.967379897939584e-266): 0
* [misc]none:  (5.338353252944482e+295): 1
* [misc]none:  (2.475773952907049e-271): 0
* [misc]none:  (5.261531518469373e-290): 0
* [misc]none:  (2.555657911489638e+100): 2
* [misc]none:  (2.1545947154827896e+229): 1
* [misc]none:  (2.6209188754640728e+107): 1
* [misc]none:  (1.0367654190214238e+155): 1
* [misc]none:  (7.510167254913154e-75): 0
* [misc]none:  (-1.879438806525893e-17): 0
* [misc]none:  (-2.2458375637103902e-132): 0
* [misc]none:  (-9.791675790911144e+50): 1
* [misc]none:  (5.462119320563526e+16): 1
* [misc]none:  (-7.461408405072584e-11): 0
* [misc]none:  (2.819362408294866e+247): 1
* [misc]none:  (5.576422555370537e+229): 1
* [misc]none:  (-1.2634592988240547e+184): 1
* [misc]none:  (-2.046312445248254e+167): 1
* [misc]none:  (-2.5768688170454604e-166): 0
* [misc]none:  (-2.3695265370701153e-160): 0
* [misc]none:  (5.627370989949808e+102): 1
* [misc]none:  (-1.1307817728525e-192): 0
* [misc]none:  (2.729599448498006e-142): 0
* [misc]none:  (1.268161462925599e-223): 0
* [misc]none:  (1.8558602765266175e+154): 1
* [misc]none:  (8.010626774664954e-118): 0
* [misc]none:  (3.197294045188449e-213): 0
* [misc]none:  (-3.8061627632242695e+220): 1
* [misc]none:  (1.4601547257514377e-37): 0
* [misc]none:  (6.851358071879168e+277): 1
* [misc]none:  (-1.4026731237337527e+299): 1
* [misc]none:  (1.2309532522175715e-227): 0
* [misc]none:  (5.849070875002102e-168): 0
* [misc]none:  (-1.8322924530722165e+176): 1
* [misc]none:  (2.6481468427206757e-89): 0
* [misc]none:  (1.8304705420573128e+300): 1
* [misc]none:  (5.162437418074754e-216): 0
* [misc]none:  (5.884862647618943e+102): 2
* [misc]none:  (1.3917287586797797e+215): 1
* [misc]none:  (-1.9484215729108895e+208): 1
* [misc]none:  (2.7534373406057187e+274): 1
* [misc]none:  (-6.754823491493555e-24): 0
* [misc]none:  (-2.4266153803656513e-110): 0
* [misc]none:  (2.802805856656922e+299): 1
* [misc]none:  (3267744482859.4893): 1
* [misc]none:  (-2.125403821003621e+259): 1
* [misc]none:  (-5.821161027096475e-49): 0
* [misc]none:  (4.3906960513010925e-288): 0
* [misc]none:  (9.735553079850294e-195): 0
* [misc]none:  (-2.4642361000377723e+179): 1
* [misc]none:  (-223338690.5739434): 1
* [misc]none:  (2.617385806499904e-208): 0
* [misc]none:  (6.454193966659965e-12): 0
* [misc]none:  (1.2843486366644783e+218): 1
* [misc]none:  (1.6598105327534946e+245): 1
* [misc]none:  (-2.2565106546246065e+111): 2
* [misc]none:  (-8.921793657844595e+241): 1
* [misc]none:  (-1.2504926677350782e+286): 1
* [misc]none:  (2142884768423.9766): 2
* [misc]none:  (-1.0342577969053837e-127): 0
* [misc]none:  (1.1325567110922881e-222): 0
* [misc]none:  (6.352964037059704e-48): 0
* [misc]none:  (2.0675888684205106e-37): 0
* [misc]none:  (3.9955309460256863e-193): 0
* [misc]none:  (-6.802352065741283e-237): 0
* [misc]none:  (1.7860466700053246e+179): 1
* [misc]none:  (-2.1540953112813662e-178): 0
* [misc]none:  (-1.1984894069610523e-255): 0
* [misc]none:  (2.286904329311883e+176): 1
* [misc]none:  (-3.0869297245392077e+307): 1
* [misc]none:  (-7.242911167116891e-28): 0
* [misc]none:  (-3.652961257321153e+269): 1
* [misc]none:  (-1.981435962910265e-248): 0
* [misc]none:  (1.434478809327731e-162): 0
* [misc]none:  (1.7673263201240207e+200): 1
* [misc]none:  (4.1358060479750856e+163): 1
* [misc]none:  (2.77377213114978e+181): 1
* [misc]none:  (-2.5233739143143128e-166): 0
* [misc]none:  (7.0699594918945535e-177): 0
* [misc]none:  (1.5437232098269186e+160): 1
* [misc]none:  (-5.1984298768145166e+116): 2
* [misc]none:  (-1.2768311469464077e-95): 0
* [misc]none:  (-4.0802892718556596e+97): 1
* [misc]none:  All alt indexes
* [misc]none:  (λ (x) (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x)))): 0
* [misc]none:  (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x))): 1
* [misc]none:  (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x))): 2
* [misc]none:  (λ (x) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x)))): 3
* [misc]none:  (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x))): 4
* [misc]none:  (λ (x) (cbrt (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3))): 5
* [misc]none:  Best alt per point
* [misc]none:  (1.8269212298308998e+214): 1
* [misc]none:  (1789977963981.046): 2
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* [misc]none:  (1.7860466700053246e+179): 1
* [misc]none:  (-2.1540953112813662e-178): 0
* [misc]none:  (-1.1984894069610523e-255): 0
* [misc]none:  (2.286904329311883e+176): 1
* [misc]none:  (-3.0869297245392077e+307): 1
* [misc]none:  (-7.242911167116891e-28): 0
* [misc]none:  (-3.652961257321153e+269): 1
* [misc]none:  (-1.981435962910265e-248): 0
* [misc]none:  (1.434478809327731e-162): 0
* [misc]none:  (1.7673263201240207e+200): 1
* [misc]none:  (4.1358060479750856e+163): 1
* [misc]none:  (2.77377213114978e+181): 1
* [misc]none:  (-2.5233739143143128e-166): 0
* [misc]none:  (7.0699594918945535e-177): 0
* [misc]none:  (1.5437232098269186e+160): 1
* [misc]none:  (-5.1984298768145166e+116): 2
* [misc]none:  (-1.2768311469464077e-95): 0
* [misc]none:  (-4.0802892718556596e+97): 1
* [misc]none:  Picked alt (λ (x) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))) in x
* [misc]taylor:  Taking taylor expansion of (* (- (sin x)) (tan (/ x 2))) in x
* [misc]taylor:  Taking taylor expansion of (- (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (- (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -1 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1/2 -1) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))) in x
* [misc]taylor:  Taking taylor expansion of (* (- (sin x)) (tan (/ x 2))) in x
* [misc]taylor:  Taking taylor expansion of (- (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (- (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -1 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1/2 -1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/24) (+ (* -1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (- (- 1/6)) into 1/6
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -1 1/24) (+ (* 0 0) (* 1/6 1/2)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 1/24 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (- 1/6)) into 1/6
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/240) (+ (* -1 0) (+ (* 0 1/24) (+ (* 1/6 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* -1/24 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/240 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (- 1/6)) into 1/6
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (- 1/120) into -1/120
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -1 1/240) (+ (* 0 0) (+ (* 1/6 1/24) (+ (* 0 0) (* -1/120 1/2)))))) into -1/720
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ -1/720 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* -1/24 (/ 0 -1)) (* 0 (/ 0 -1)))) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ (* (- (sin (/ 1 x))) (tan (/ (/ 1 x) 2))) (- (* (/ 1 x) (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sin (/ 1 x))) (tan (/ (/ 1 x) 2))) (- (* (/ 1 x) (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (- (sin (/ 1 x))) (tan (/ (/ 1 x) 2))) in x
* [misc]taylor:  Taking taylor expansion of (- (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (- (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (* (- (sin (/ 1 x))) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (* -1 (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) -1) into (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sin (/ 1 x))) (tan (/ (/ 1 x) 2))) (- (* (/ 1 x) (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (- (sin (/ 1 x))) (tan (/ (/ 1 x) 2))) in x
* [misc]taylor:  Taking taylor expansion of (- (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (- (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (* (- (sin (/ 1 x))) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (* -1 (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) -1) into (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ 1 x))) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (* (sin (/ 1/2 (/ 1 x))) (sin (/ 1 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
* [misc]approximate:  Taking taylor expansion of (/ (* (- (sin (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))) (- (* (/ 1 (- x)) (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sin (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))) (- (* (/ 1 (- x)) (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (- (sin (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))) in x
* [misc]taylor:  Taking taylor expansion of (- (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (* (- (sin (/ -1 x))) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (* -1 (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) -1) into (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sin (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))) (- (* (/ 1 (- x)) (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (- (sin (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))) in x
* [misc]taylor:  Taking taylor expansion of (- (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (* (- (sin (/ -1 x))) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (* -1 (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) -1) into (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ -1 x))) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (* (sin (/ -1/2 (/ 1 (- x)))) (sin (/ -1 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (- (sin x)) (tan (/ x 2))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (sin x)) (tan (/ x 2))) in x
* [misc]taylor:  Taking taylor expansion of (- (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- (sin x)) (tan (/ x 2))) in x
* [misc]taylor:  Taking taylor expansion of (- (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -1 1/2)) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/24) (+ (* -1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (- (- 1/6)) into 1/6
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -1 1/24) (+ (* 0 0) (* 1/6 1/2)))) into 1/24
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (- 1/6)) into 1/6
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/240) (+ (* -1 0) (+ (* 0 1/24) (+ (* 1/6 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/240 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (- 1/6)) into 1/6
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (- 1/120) into -1/120
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -1 1/240) (+ (* 0 0) (+ (* 1/6 1/24) (+ (* 0 0) (* -1/120 1/2)))))) into -1/720
* [misc]backup-simplify:  Simplify -1/720 into -1/720
* [misc]backup-simplify:  Simplify (+ (* -1/720 (pow x 6)) (+ (* 1/24 (pow x 4)) (* -1/2 (pow x 2)))) into (- (* 1/24 (pow x 4)) (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))))
* [misc]approximate:  Taking taylor expansion of (* (- (sin (/ 1 x))) (tan (/ (/ 1 x) 2))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (sin (/ 1 x))) (tan (/ (/ 1 x) 2))) in x
* [misc]taylor:  Taking taylor expansion of (- (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (* (- (sin (/ 1 x))) (tan (/ (/ 1 x) 2))) in x
* [misc]taylor:  Taking taylor expansion of (- (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (* (- (sin (/ 1 x))) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (* -1 (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (* -1 (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) into (* -1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ 1 x))) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -1 (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x))))) into (* -1 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))))
* [misc]approximate:  Taking taylor expansion of (* (- (sin (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (sin (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))) in x
* [misc]taylor:  Taking taylor expansion of (- (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (* (- (sin (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))) in x
* [misc]taylor:  Taking taylor expansion of (- (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (* (- (sin (/ -1 x))) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (* -1 (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (* -1 (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) into (* -1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ -1 x))) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -1 (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x)))))) into (* -1 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 65 ] simplifiying candidate #<alt-delta (λ (x) (log1p (expm1 (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))))>
* [enter]simplify:  Simplifying (expm1 (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (246 enodes)
* [exit]simplify:  Simplified to (expm1 (* (tan (/ x 2)) (/ (- (sin x)) (- (* x x)))))
* [exit]simplify:  Simplified to (expm1 (* (tan (/ x 2)) (/ (- (sin x)) (- (* x x)))))
* * * * [misc]progress:  [ 2 / 65 ] simplifiying candidate #<alt-delta (λ (x) (expm1 (log1p (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))))>
* [enter]simplify:  Simplifying (log1p (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (246 enodes)
* [exit]simplify:  Simplified to (log1p (* (tan (/ x 2)) (/ (- (sin x)) (- (* x x)))))
* [exit]simplify:  Simplified to (log1p (* (tan (/ x 2)) (/ (- (sin x)) (- (* x x)))))
* * * * [misc]progress:  [ 3 / 65 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))) 1))>
* * * * [misc]progress:  [ 4 / 65 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (+ (log (- (sin x))) (log (tan (/ x 2)))) (log (- (* x x))))))>
* [enter]simplify:  Simplifying (- (+ (log (- (sin x))) (log (tan (/ x 2)))) (log (- (* x x))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (154 enodes)
* [exit]simplify:  Simplified to (- (log (tan (/ x 2))) (- (log (- (* x x))) (log (- (sin x)))))
* [exit]simplify:  Simplified to (- (log (tan (/ x 2))) (- (log (- (* x x))) (log (- (sin x)))))
* * * * [misc]progress:  [ 5 / 65 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (log (* (- (sin x)) (tan (/ x 2)))) (log (- (* x x))))))>
* [enter]simplify:  Simplifying (- (log (* (- (sin x)) (tan (/ x 2)))) (log (- (* x x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (208 enodes)
* [exit]simplify:  Simplified to (- (log (* (- (sin x)) (tan (/ x 2)))) (log (* (- x) x)))
* [exit]simplify:  Simplified to (- (log (* (- (sin x)) (tan (/ x 2)))) (log (* (- x) x)))
* * * * [misc]progress:  [ 6 / 65 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))))>
* [enter]simplify:  Simplifying (log (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (log (/ (/ (tan (/ x 2)) x) (/ (- x) (- (sin x)))))
* [exit]simplify:  Simplified to (log (/ (/ (tan (/ x 2)) x) (/ (- x) (- (sin x)))))
* * * * [misc]progress:  [ 7 / 65 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))))>
* [enter]simplify:  Simplifying (exp (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (280 enodes)
* [exit]simplify:  Simplified to (pow (exp (tan (/ x 2))) (/ (- (sin x)) (- (* x x))))
* [exit]simplify:  Simplified to (pow (exp (tan (/ x 2))) (/ (- (sin x)) (- (* x x))))
* * * * [misc]progress:  [ 8 / 65 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (* (* (* (- (sin x)) (- (sin x))) (- (sin x))) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* (- (* x x)) (- (* x x))) (- (* x x))))))>
* [enter]simplify:  Simplifying (/ (* (* (* (- (sin x)) (- (sin x))) (- (sin x))) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* (- (* x x)) (- (* x x))) (- (* x x))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (247 enodes)
* [exit]simplify:  Simplified to (* (* (/ (tan (/ x 2)) (- (* x x))) (* (tan (/ x 2)) (tan (/ x 2)))) (* (* (/ (sin x) (* x x)) (/ (sin x) (* x x))) (- (sin x))))
* [exit]simplify:  Simplified to (* (* (/ (tan (/ x 2)) (- (* x x))) (* (tan (/ x 2)) (tan (/ x 2)))) (* (* (/ (sin x) (* x x)) (/ (sin x) (* x x))) (- (sin x))))
* * * * [misc]progress:  [ 9 / 65 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (* (* (* (- (sin x)) (tan (/ x 2))) (* (- (sin x)) (tan (/ x 2)))) (* (- (sin x)) (tan (/ x 2)))) (* (* (- (* x x)) (- (* x x))) (- (* x x))))))>
* [enter]simplify:  Simplifying (/ (* (* (* (- (sin x)) (tan (/ x 2))) (* (- (sin x)) (tan (/ x 2)))) (* (- (sin x)) (tan (/ x 2)))) (* (* (- (* x x)) (- (* x x))) (- (* x x))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (215 enodes)
* [exit]simplify:  Simplified to (* (/ (* (tan (/ x 2)) (sin x)) (/ (* (* x x) (* x x)) (tan (/ x 2)))) (/ (* (tan (/ x 2)) (sin x)) (/ (- (* x x)) (- (sin x)))))
* [exit]simplify:  Simplified to (* (/ (* (tan (/ x 2)) (sin x)) (/ (* (* x x) (* x x)) (tan (/ x 2)))) (/ (* (tan (/ x 2)) (sin x)) (/ (- (* x x)) (- (sin x)))))
* * * * [misc]progress:  [ 10 / 65 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x)))) (cbrt (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))) (cbrt (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x)))) (cbrt (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (- (/ (sin x) (- x))) (/ (tan (/ x 2)) x))) (cbrt (* (- (/ (sin x) (- x))) (/ (tan (/ x 2)) x))))
* [exit]simplify:  Simplified to (* (cbrt (* (- (/ (sin x) (- x))) (/ (tan (/ x 2)) x))) (cbrt (* (- (/ (sin x) (- x))) (/ (tan (/ x 2)) x))))
* [enter]simplify:  Simplifying (cbrt (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (246 enodes)
* [exit]simplify:  Simplified to (cbrt (* (tan (/ x 2)) (/ (- (sin x)) (- (* x x)))))
* [exit]simplify:  Simplified to (cbrt (* (tan (/ x 2)) (/ (- (sin x)) (- (* x x)))))
* * * * [misc]progress:  [ 11 / 65 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x)))) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))))>
* [enter]simplify:  Simplifying (* (* (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x)))) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* [exit]simplify:  Simplified to (pow (* (/ (tan (/ x 2)) (- x)) (/ (- (sin x)) x)) 3)
* [exit]simplify:  Simplified to (pow (* (/ (tan (/ x 2)) (- x)) (/ (- (sin x)) x)) 3)
* * * * [misc]progress:  [ 12 / 65 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x)))) (sqrt (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (246 enodes)
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (/ (- (sin x)) (- (* x x)))))
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (/ (- (sin x)) (- (* x x)))))
* [enter]simplify:  Simplifying (sqrt (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (246 enodes)
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (/ (- (sin x)) (- (* x x)))))
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (/ (- (sin x)) (- (* x x)))))
* * * * [misc]progress:  [ 13 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (* (- (sin x)) (tan (/ x 2)))) (- (- (* x x)))))>
* [enter]simplify:  Simplifying (- (* (- (sin x)) (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (sin x))
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (sin x))
* [enter]simplify:  Simplifying (- (- (* x x)))
* * [misc]simplify:  iters left: 6 (4 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (* x x)
* [exit]simplify:  Simplified to (* x x)
* * * * [misc]progress:  [ 14 / 65 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (- (sin x)) (* (cbrt (- (* x x))) (cbrt (- (* x x))))) (/ (tan (/ x 2)) (cbrt (- (* x x))))))>
* [enter]simplify:  Simplifying (/ (- (sin x)) (* (cbrt (- (* x x))) (cbrt (- (* x x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (sin x)) (cbrt (* x (- x)))) (cbrt (* x (- x))))
* [exit]simplify:  Simplified to (/ (/ (- (sin x)) (cbrt (* x (- x)))) (cbrt (* x (- x))))
* [enter]simplify:  Simplifying (/ (tan (/ x 2)) (cbrt (- (* x x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (cbrt (* x (- x))))
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (cbrt (* x (- x))))
* * * * [misc]progress:  [ 15 / 65 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (- (sin x)) (sqrt (- (* x x)))) (/ (tan (/ x 2)) (sqrt (- (* x x))))))>
* [enter]simplify:  Simplifying (/ (- (sin x)) (sqrt (- (* x x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (- (sin x)) (sqrt (* (- x) x)))
* [exit]simplify:  Simplified to (/ (- (sin x)) (sqrt (* (- x) x)))
* [enter]simplify:  Simplifying (/ (tan (/ x 2)) (sqrt (- (* x x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (sqrt (* x (- x))))
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (sqrt (* x (- x))))
* * * * [misc]progress:  [ 16 / 65 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (- (sin x)) 1) (/ (tan (/ x 2)) (- (* x x)))))>
* [enter]simplify:  Simplifying (/ (- (sin x)) 1)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (- (sin x))
* [exit]simplify:  Simplified to (- (sin x))
* [enter]simplify:  Simplifying (/ (tan (/ x 2)) (- (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (* (- x) x))
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (* (- x) x))
* * * * [misc]progress:  [ 17 / 65 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (- (sin x)) -1) (/ (tan (/ x 2)) (* x x))))>
* [enter]simplify:  Simplifying (/ (- (sin x)) -1)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (- (/ (sin x) -1))
* [exit]simplify:  Simplified to (- (/ (sin x) -1))
* [enter]simplify:  Simplifying (/ (tan (/ x 2)) (* x x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (* x x))
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (* x x))
* * * * [misc]progress:  [ 18 / 65 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (- (sin x)) (- x)) (/ (tan (/ x 2)) x)))>
* [enter]simplify:  Simplifying (/ (- (sin x)) (- x))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (- (/ (sin x) (- x)))
* [exit]simplify:  Simplified to (- (/ (sin x) (- x)))
* [enter]simplify:  Simplifying (/ (tan (/ x 2)) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) x)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) x)
* * * * [misc]progress:  [ 19 / 65 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (- (sin x)) x) (/ (tan (/ x 2)) (- x))))>
* [enter]simplify:  Simplifying (/ (- (sin x)) x)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (- (sin x)) x)
* [exit]simplify:  Simplified to (/ (- (sin x)) x)
* [enter]simplify:  Simplifying (/ (tan (/ x 2)) (- x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (- x))
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (- x))
* * * * [misc]progress:  [ 20 / 65 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x)))))>
* * * * [misc]progress:  [ 21 / 65 ] simplifiying candidate #<alt-delta (λ (x) (* (* (- (sin x)) (tan (/ x 2))) (/ 1 (- (* x x)))))>
* [enter]simplify:  Simplifying (/ 1 (- (* x x)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) (- x))
* [exit]simplify:  Simplified to (/ (/ 1 x) (- x))
* * * * [misc]progress:  [ 22 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (- (* x x)) (* (- (sin x)) (tan (/ x 2))))))>
* [enter]simplify:  Simplifying (/ (- (* x x)) (* (- (sin x)) (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (230 enodes)
* [exit]simplify:  Simplified to (/ (/ (* x (- x)) (tan (/ x 2))) (- (sin x)))
* [exit]simplify:  Simplified to (/ (/ (* x (- x)) (tan (/ x 2))) (- (sin x)))
* * * * [misc]progress:  [ 23 / 65 ] simplifiying candidate #<alt-delta (λ (x) (- (/ (* (sin x) (tan (/ x 2))) (- (* x x)))))>
* [enter]simplify:  Simplifying (/ (* (sin x) (tan (/ x 2))) (- (* x x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (/ (* (- x) x) (sin x)))
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (/ (* (- x) x) (sin x)))
* * * * [misc]progress:  [ 24 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (- (sin x)) (tan (/ x 2))) (* (cbrt (- (* x x))) (cbrt (- (* x x))))) (cbrt (- (* x x)))))>
* [enter]simplify:  Simplifying (/ (* (- (sin x)) (tan (/ x 2))) (* (cbrt (- (* x x))) (cbrt (- (* x x)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (* (/ (tan (/ x 2)) (cbrt (- (* x x)))) (/ (- (sin x)) (cbrt (- (* x x)))))
* [exit]simplify:  Simplified to (* (/ (tan (/ x 2)) (cbrt (- (* x x)))) (/ (- (sin x)) (cbrt (- (* x x)))))
* * * * [misc]progress:  [ 25 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (- (sin x)) (tan (/ x 2))) (sqrt (- (* x x)))) (sqrt (- (* x x)))))>
* [enter]simplify:  Simplifying (/ (* (- (sin x)) (tan (/ x 2))) (sqrt (- (* x x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (/ (* (- (sin x)) (tan (/ x 2))) (sqrt (- (* x x))))
* [exit]simplify:  Simplified to (/ (* (- (sin x)) (tan (/ x 2))) (sqrt (- (* x x))))
* * * * [misc]progress:  [ 26 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (- (sin x)) (tan (/ x 2))) 1) (- (* x x))))>
* [enter]simplify:  Simplifying (/ (* (- (sin x)) (tan (/ x 2))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (- (sin x)))
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (- (sin x)))
* * * * [misc]progress:  [ 27 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (- (sin x)) (tan (/ x 2))) -1) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (- (sin x)) (tan (/ x 2))) -1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (- (/ (sin x) -1)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (- (/ (sin x) -1)) (tan (/ x 2)))
* * * * [misc]progress:  [ 28 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (- (sin x)) (tan (/ x 2))) (- x)) x))>
* [enter]simplify:  Simplifying (/ (* (- (sin x)) (tan (/ x 2))) (- x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (- x)) (- (tan (/ x 2))))
* [exit]simplify:  Simplified to (* (/ (sin x) (- x)) (- (tan (/ x 2))))
* * * * [misc]progress:  [ 29 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (- (sin x)) (tan (/ x 2))) x) (- x)))>
* [enter]simplify:  Simplifying (/ (* (- (sin x)) (tan (/ x 2))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (* (- (/ (sin x) x)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (- (/ (sin x) x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 30 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (sin x)) (/ (- (* x x)) (tan (/ x 2)))))>
* [enter]simplify:  Simplifying (/ (- (* x x)) (tan (/ x 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (/ (* (- x) x) (tan (/ x 2)))
* [exit]simplify:  Simplified to (/ (* (- x) x) (tan (/ x 2)))
* * * * [misc]progress:  [ 31 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (- (sin x)) (sin (/ x 2))) (* (- (* x x)) (cos (/ x 2)))))>
* [enter]simplify:  Simplifying (* (- (* x x)) (cos (/ x 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (* (* (- x) x) (cos (/ x 2)))
* [exit]simplify:  Simplified to (* (* (- x) x) (cos (/ x 2)))
* * * * [misc]progress:  [ 32 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (log1p (expm1 (* (- (sin x)) (tan (/ x 2))))) (- (* x x))))>
* [enter]simplify:  Simplifying (expm1 (* (- (sin x)) (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (expm1 (* (- (sin x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (expm1 (* (- (sin x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 33 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (expm1 (log1p (* (- (sin x)) (tan (/ x 2))))) (- (* x x))))>
* [enter]simplify:  Simplifying (log1p (* (- (sin x)) (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (log1p (* (- (sin x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (log1p (* (- (sin x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 34 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (pow (* (- (sin x)) (tan (/ x 2))) 1) (- (* x x))))>
* [enter]simplify:  Simplifying (* (- (sin x)) (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* (- (sin x)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (- (sin x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 35 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (pow (* (- (sin x)) (tan (/ x 2))) 1) (- (* x x))))>
* * * * [misc]progress:  [ 36 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (+ (log (- (sin x))) (log (tan (/ x 2))))) (- (* x x))))>
* [enter]simplify:  Simplifying (+ (log (- (sin x))) (log (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (+ (log (- (sin x))) (log (tan (/ x 2))))
* [exit]simplify:  Simplified to (+ (log (- (sin x))) (log (tan (/ x 2))))
* * * * [misc]progress:  [ 37 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (log (* (- (sin x)) (tan (/ x 2))))) (- (* x x))))>
* [enter]simplify:  Simplifying (log (* (- (sin x)) (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (log (* (- (sin x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (log (* (- (sin x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 38 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (log (exp (* (- (sin x)) (tan (/ x 2))))) (- (* x x))))>
* [enter]simplify:  Simplifying (exp (* (- (sin x)) (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (exp (* (- (sin x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (exp (* (- (sin x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 39 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (* (* (* (- (sin x)) (- (sin x))) (- (sin x))) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (* (* (- (sin x)) (- (sin x))) (- (sin x))) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (257 enodes)
* [exit]simplify:  Simplified to (* (pow (tan (/ x 2)) 3) (* (* (sin x) (sin x)) (- (sin x))))
* [exit]simplify:  Simplified to (* (pow (tan (/ x 2)) 3) (* (* (sin x) (sin x)) (- (sin x))))
* * * * [misc]progress:  [ 40 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (cbrt (* (- (sin x)) (tan (/ x 2)))) (cbrt (* (- (sin x)) (tan (/ x 2))))) (cbrt (* (- (sin x)) (tan (/ x 2))))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (cbrt (* (- (sin x)) (tan (/ x 2)))) (cbrt (* (- (sin x)) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (- (sin x)) (tan (/ x 2)))) (cbrt (* (- (sin x)) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (- (sin x)) (tan (/ x 2)))) (cbrt (* (- (sin x)) (tan (/ x 2)))))
* [enter]simplify:  Simplifying (cbrt (* (- (sin x)) (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (cbrt (* (- (sin x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (cbrt (* (- (sin x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 41 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (* (* (* (- (sin x)) (tan (/ x 2))) (* (- (sin x)) (tan (/ x 2)))) (* (- (sin x)) (tan (/ x 2))))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (* (* (- (sin x)) (tan (/ x 2))) (* (- (sin x)) (tan (/ x 2)))) (* (- (sin x)) (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* [exit]simplify:  Simplified to (pow (* (- (sin x)) (tan (/ x 2))) 3)
* [exit]simplify:  Simplified to (pow (* (- (sin x)) (tan (/ x 2))) 3)
* * * * [misc]progress:  [ 42 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (* (- (sin x)) (tan (/ x 2)))) (sqrt (* (- (sin x)) (tan (/ x 2))))) (- (* x x))))>
* [enter]simplify:  Simplifying (sqrt (* (- (sin x)) (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (sin x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (sqrt (* (- (sin x)) (tan (/ x 2))))
* [enter]simplify:  Simplifying (sqrt (* (- (sin x)) (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (sin x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (sqrt (* (- (sin x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 43 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* 1 (* (- (sin x)) (tan (/ x 2)))) (- (* x x))))>
* * * * [misc]progress:  [ 44 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (* (sin x) (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (sin x) (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sin x) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (sin x) (tan (/ x 2)))
* * * * [misc]progress:  [ 45 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (- (sin x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (- (sin x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (* (* (- (sin x)) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))
* [exit]simplify:  Simplified to (* (* (- (sin x)) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))
* * * * [misc]progress:  [ 46 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (- (sin x)) (sqrt (tan (/ x 2)))) (sqrt (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (- (sin x)) (sqrt (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (- (sin x)) (sqrt (tan (/ x 2))))
* [exit]simplify:  Simplified to (* (- (sin x)) (sqrt (tan (/ x 2))))
* * * * [misc]progress:  [ 47 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (- (sin x)) 1) (tan (/ x 2))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (- (sin x)) 1)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (- (sin x))
* [exit]simplify:  Simplified to (- (sin x))
* * * * [misc]progress:  [ 48 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (cbrt (- (sin x))) (cbrt (- (sin x)))) (* (cbrt (- (sin x))) (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (cbrt (- (sin x))) (tan (/ x 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- (sin x))) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (cbrt (- (sin x))) (tan (/ x 2)))
* * * * [misc]progress:  [ 49 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (- (sin x))) (* (sqrt (- (sin x))) (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (sqrt (- (sin x))) (tan (/ x 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (sin x))) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (sqrt (- (sin x))) (tan (/ x 2)))
* * * * [misc]progress:  [ 50 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* 1 (* (- (sin x)) (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (- (sin x)) (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* (- (sin x)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (- (sin x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 51 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* -1 (* (sin x) (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (sin x) (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sin x) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (sin x) (tan (/ x 2)))
* * * * [misc]progress:  [ 52 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (- (* (cbrt (sin x)) (cbrt (sin x)))) (* (cbrt (sin x)) (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (cbrt (sin x)) (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 53 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (- (sqrt (sin x))) (* (sqrt (sin x)) (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (sqrt (sin x)) (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 54 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (- 1) (* (sin x) (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (sin x) (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sin x) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (sin x) (tan (/ x 2)))
* * * * [misc]progress:  [ 55 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (cbrt (sin x)) (cbrt (sin x))) (* (- (cbrt (sin x))) (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (- (cbrt (sin x))) (tan (/ x 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (- (tan (/ x 2))) (cbrt (sin x)))
* [exit]simplify:  Simplified to (* (- (tan (/ x 2))) (cbrt (sin x)))
* * * * [misc]progress:  [ 56 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (sin x)) (* (- (sqrt (sin x))) (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (- (sqrt (sin x))) (tan (/ x 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (- (tan (/ x 2))) (sqrt (sin x)))
* [exit]simplify:  Simplified to (* (- (tan (/ x 2))) (sqrt (sin x)))
* * * * [misc]progress:  [ 57 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* 1 (* (- (sin x)) (tan (/ x 2)))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (- (sin x)) (tan (/ x 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* (- (sin x)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (- (sin x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 58 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (- (sin x)) (sin (/ x 2))) (cos (/ x 2))) (- (* x x))))>
* [enter]simplify:  Simplifying (* (- (sin x)) (sin (/ x 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* (- (sin x)) (sin (/ x 2)))
* [exit]simplify:  Simplified to (* (- (sin x)) (sin (/ x 2)))
* * * * [misc]progress:  [ 59 / 65 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (tan (/ x 2)) (- (sin x))) (- (* x x))))>
* * * * [misc]progress:  [ 60 / 65 ] simplifiying candidate #<alt-event (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x)))
* * * * [misc]progress:  [ 61 / 65 ] simplifiying candidate #<alt-event (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (sin (* x 1/2)) (cos (* x 1/2))) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 62 / 65 ] simplifiying candidate #<alt-event (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (sin (* x 1/2)) (cos (* x 1/2))) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 63 / 65 ] simplifiying candidate #<alt-event (λ (x) (/ (- (* 1/24 (pow x 4)) (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6)))) (- (* x x))))>
* [enter]simplify:  Simplifying (/ (- (* 1/24 (pow x 4)) (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6)))) (- (* x x)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (345 enodes)
* [exit]simplify:  Simplified to (/ (- (* (pow x 4) 1/24) (fma (* x x) 1/2 (* (pow x 6) 1/720))) (- (* x x)))
* * * * [misc]progress:  [ 64 / 65 ] simplifiying candidate #<alt-event (λ (x) (/ (* -1 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (- (* x x))))>
* [enter]simplify:  Simplifying (/ (* -1 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (- (* x x)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (sin x)) (cos (* 1/2 x))) (/ (* (- x) x) (sin (* 1/2 x))))
* * * * [misc]progress:  [ 65 / 65 ] simplifiying candidate #<alt-event (λ (x) (/ (* -1 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (- (* x x))))>
* [enter]simplify:  Simplifying (/ (* -1 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (- (* x x)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (sin x)) (cos (* 1/2 x))) (/ (* (- x) x) (sin (* 1/2 x))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (x) (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x))))> #<alt-delta (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))> #<alt-delta (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))> #<alt-delta (λ (x) (/ (* (- (sin x)) (tan (/ x 2))) (- (* x x))))> #<alt-delta (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))> #<alt-delta (λ (x) (cbrt (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3)))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (/ (- 1 (cos x)) (* x x)) +nan.0)) , with alts (#<alt-delta (λ (x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)))>)
* [enter]simplify:  Simplifying (tan (/ x 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (tan (/ x 2))
* [exit]simplify:  Simplified to (tan (/ x 2))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs